the sum of the digits of a two - digit number is 14 . if the digits are reversed, the number increases by 36 . find the number .​

Answers

Answer 1
༆ Answer :- 59༆ Solution :-

Let the tens digit of the number be x .

ones digit = ( 14 - x ) ( since the sum of the 2 digits is 14 )

Two - Digit number = 10 ( tens digit ) + ones digit

Required number ,

10x + ( 14 - x ) 10x - x + 14 9x + 14

Reversed number ,

10 ( 14 - x ) + x 140 - 10x + x 140 - 9x

Given ,

Reversed number - Required number = 36

✯ 140 - 9x - ( 9x + 14 ) = 36

✯ 140 - 9x - 9x - 14 = 36

✯ 126 - 18x = 36

✯ 126 - 36 = 18x

✯ 18x = 90

✯ x = 5

Ten digits , x = 5 Ones digits = ( 14 - x ) = 14 - 5 = 9

Thus , Required number is 10 × 5 + 9 = 59

Answer 2

Given -

the sum of the digits of a two - digit number is 14.

i.e, if two numbers are x and y then, x + y = 14

if the digits are reversed, the number increases by 36

i.e, if 10y + x then 10y + x = 10x + y + 36.

To find -

the number

Concept -

If a, b and c are real number (and if a and b both are not equal to 0) then ax+by=c is called a linear equation in two variables (The two variables are x and y)

The numbers a and b are called the coefficient of the equation ax+by=c. The number r is called the constant of the equation ax+by = c

PS - first we will construct two linear equations and then we'll find the number.

Solution -

Let, x + y = 14

➜ y = 14 - x ----(i)

and we'll solve 10y + x = 10x + y + 36 further,

➜ 10y + x = 10x + y + 36

➜ 10y - y = 10x - x + 36

➜ 9y = 9x + 36

➜ 9x - 9y = -36

➜ 9(x - y) = -36

➜ x - y = -4 ----(ii)

Substituting the value of y (in equation (i)) in equation (ii),

➜ x - (14 - x) = -4

➜ x - 14 + x = -4

➜ 2x = -4 + 14

➜ 2x = 10

➜ x = 10/2

x = 5

Now to find the value of y we will substitute the value of x in equation (i),

➜ y = 14 - 5

y = 9

Therefore, the number is {10(5)+9,i.e,} 59.


Related Questions

It is predicted that by 2050, there will be 10^10 people living on Earth. At that time, it is predicted there will be approximately 10^12 trees. How many trees will there be for each person?

Answers

Answer:

100 trees per person

Step-by-step explanation:

10^12 trees / 10^10 persons =  10^(12-10) = 10^2 trees/person

Answer:

Step-by-step explanation:

Givens

There are 10^12 trees

There are 10^10 people

Solution

Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100

There will be 100 trees / every person on the planet.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

D.

I’ll give brainliest

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What is the volume of a rectangular prism with length 7 cm, width 2 cm, height 5 cm?

Answers

Answer:

[tex]7x2x5= 70[/tex]

Hope This Helps! :)

HDTV screens usually have a width to height ratio of 16:9 which screen dimentions are in the same propeortion

Answers

Answer:

4 feet by 3 feet

Step-by-step explanation:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

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An equation is shown below:

5x + 3(x − 5) = 6x + 2x − 15

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Your answer:

Answers

Answer:

infinity

Step-by-step explanation:

the distributive property is used when 3 is multiplied to x and 5 so it becomes 3x-15 and you combine like terms after that.

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I think the answer is yes

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

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Answer:

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Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

So you shade 8 parts in and the remaining is 4 so that the other 1/3 of 2/3

Answer

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HELP PLEASE
Leigh bought a conical candle wax mold. The height of the mold is 16.5 inches and the radius of the inside of the top of the conical
mold is 2.4 inches. She fills the mold completely with candle wax so that it is level with the top of the conical mold.
Using 3.14 for , approximately how much candle wax can the conical mold hold?
A. 41.45 cubic inches
B. 124.34 cubic inches
C. 99.48 cubic inches
D. 43.41 cubic inches

Answers

Answer:

Formula for volume of cone;

V = 1/3π[tex]r^{2}[/tex]h

Plug in what you know:-

V = 1/3π[tex]r^{2}[/tex]

will be

V = 1/3(3.14) · 2.4^2 · 16.5

Simplify and solve,

V = 1/3(3.14) · 5.76 · 16.5

V = 1.05 · 5.76 · 16.5

V = 6.05 · 16.5

V = 99.825, your answer is C; 99.48 cubic inches.

1
Select the correct answer.
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Answers

Answer:

C (the bottom one)

Step-by-step explanation:

B (the top one) has roots/solutions — as in, it crosses the x-axis.

C doesn't have roots, and therefore doesn't have normal solutions, instead it has "complex" roots which require the use of imaginary numbers:  [tex]i[/tex]

Which of the following points is the reflection of (8, -5) in the y-axis?


A. (8, 5)
C. (-8, 5)
B. (-5, 8)
D. (-8, -5)

Answers

Answer:

D

Step-by-step explanation:

When you flip a point around the y axis the x value is inverted since the point is moved to the opposite side across the y axis.

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Step-by-step explanation:

We know that sum of angles of a triangle are equal to 180⁰

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Also Side Note: x⁰=y⁰=83⁰(reason=vertically opposite angles)

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on a rainy day, parker and his mom watched movies for 2 2/3 hours. they played games for 1 1/4 times as long as they watched movies. how many hours did parker and his mom play games

Answers

Answer:

3 1/3 hours

Step-by-step explanation:

if you use cross multiplication and multiply 1 by 2 2/3 you get 2 2/3 and if you multiply 1/4 by 2 2/3 add them together and you'll get 3 1/3 hours or also known as 3 hours and 20 minutes

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Find the axis of symmetry and
the
vertex of the graph of y = 3x^2
-18x + 17

Answers

Answer:

vertex: (3, -10)

axis of symmetry:  x = 3

Step-by-step explanation:

Vertex form of a quadratic equation:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

Rewrite the given equation in vertex form by completing the square.

Given equation:

[tex]y=3x^2-18x+17[/tex]

Add 10 to both sides:

[tex]y+10=3x^2-18x+27[/tex]

Factor RHS:

[tex]y+10=3(x^2-6x+9)[/tex]

[tex]y+10=3(x-3)^2[/tex]

Subtract 10 from both sides:

[tex]y=3(x-3)^2-10[/tex]

Therefore, the vertex is (3, -10)

The axis of symmetry is the x-value of the vertex.  
Therefore, the axis of symmetry is x = 3.

Answer:

Axis of symmetry: x = 3

Vertex: (3, -10)

Step-by-step explanation:

y = 3x² - 18x + 17

Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]

a = 3b = -18

[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]

Now, substitute 3 for x in your original equation to find the value of y:

y = 3x² - 18x + 17

y = 3(3)² - 18(3) + 17 <== exponents first

y = 3(9) - 54 + 17 <== multiply

y = 27 - 54 + 17 <== subtract

y = -27 + 17 <== add

y = -10

Vertex: (3, -10)

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Answers

Answer:

Bibi

Step-by-step explanation:

1 ounce=.125cup(1/8)

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6*4=28(28 fluid ounces or3.5cups)

Bibi: 5*1 cups=5 cups.

A balloon archway has been ordered for decorating the high school gym for a 1950's
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Each balloon has a mass of 0.027 grams when empty, and all the string and fixings
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Answers

We will see that the total mass of the entire archway is M = 129.1578g

What is the mass of the entire archway?

We know that each ballon weighs 0.027 grams for the plastic.

Now, we also need to remember the relation:

mass = density*volume.

Here, the density of helium is 0.1785 g/L

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If you want to learn more about mass, you can read:

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Whats the diameter of the sphere

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Answer:

Here is answer my monkey brotheren

Step-by-step explanation:

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Answers

Answer:

If the tax rate = 3.9% and the product u are buying is priced at $42 Then, the amount you will pay for the object will be, $42 + 3.9/100 * 42

Step-by-step explanation:

I hope this help

mitch must pack 88 pencils into 9 boxes.Each box must contain an equal number of pencils.How many pencils does he have left over
A] 3
B] 5
C]7
D] 8

Answers

Answer:

c

Step-by-step explanation:

i took the test

Which equations are true for x = –2 and x = 2? Select two options

x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0

Answers

Answer:

x^2 – 4 = 0   AND   4x^2 = 16

Step-by-step explanation:

a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2

b) x^2 = -4 doesn't have any solution in the real numbers.

c) 3x^2 +12 = 0 -->(divide by 3)-->  x^2 +4 =0 ---> x^2 = -4  as b)

d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4  --> x^2 -4 = 0 as a)

e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2

What one is it? Pls help

Answers

Answer:

It is A

Step-by-step explanation:

The denominator , 'x' cannot be 0    <=====undefined

  but it CAN be any other number

    domain ( the 'x' values' ) can be all numbers except 0

 The range will be all numbers except zero also....there is no way to make the y = 9/x  eqaul to 0 .

your answer is going to be a

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Answers

The answer is 850! You subtract 918 and 68 to get your answer. To check it you just add 68 to 850. Good luck!

In how many ways can the word "calculus" be arrange so that two L's do not come together?​

Answers

Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.

Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.

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