a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the number ?​

Answers

Answer 1
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.

Related Questions

What is the solution to the system of equations?

3x − 6y = −12
−x + 2y = 8

Answers

3x-6y=-12 the answer is -4+2y but u didn’t say solve for what so I solved for x
-x+2y=8 the answer is y= 4+x/2 but u didn’t say solve for what so I solve for y this time

HELP PLZZZ ANSWER THIS PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

there is no question

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Your looking dor the distance you will reach him

At the ice cream parlor there are thirty flavors, but for the last week they have only had 25 flavors.
Find the percent of change.

Answers

Answer: Percent change = 20%

===========================================================

Work Shown:

A = old value = 25 (last week's number)

B = new value = 30 (current week's number)

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (30-25)/25 ] * 100%

C = [ 5/25 ] * 100%

C = 0.20* 100%

C = 20%

The percent change is 20%

The positive value of C indicates we have a percent increase.

give the location of the ordered pair of Atlanta please help

Answers

Answer:

(6,-8)

Step-by-step explanation:

The Location of Atlanta is (6,-8)

please help with this

Answers

Answer:

-11

Step-by-step explanation:

-11 its the correct answer

whats the slope of the table pls help me

Answers

Answer:

x+6y=5

3x+y=16

6x+2y=8

Step-by-step explanation:

What is x for -6x-7=4x-2

Answers

Answer:

Exact form: x = - 1/2

Decimal form: x = - 0.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=-1/2

Step-by-step explanation:

Hope I helped!

Find the slope of the line that passes through these two points:
(-12, -1) and (-3,-4)

Answers

-1/3 is the slope of the line

Donovan has 5 times as many red fish as he does blue fish and half as many gray fish as blue fish. How many total fish (F) does Donovan hav

Answers

we dont know the 1st number. Like how many red fish are there?

Chee's family took a road trip to Niagara Falls. Chee fell asleep 19% of the way
through the trip. If the total length of the trip was 1000 miles, how many miles had
they travelled when Chee fell asleep?

Answers

190 miles
You just needed to find 19% of 1000

2+3!!
Help!! Due in an hour!!

Answers

Answer:

5

Step-by-step explanation:

I think

I think it’s like 83? nice pic tho tahts njce

Simplify 12/3 + 6•2.
O A.
dot
B. 20
C. 16
D.
9

Answers

12/3 is 4 and 6•2 is 12 4+12 is 16 so C
C or 16 that’s all yeah Yw

15cm ≈ in Helppppppppppppppppppp

Answers

Answer:

15cm is equal to 5.90551 inch

Step-by-step explanation:

I used a calculator :]

Answer:

15 cm = 5,905511811 inches.

Step-by-step explanation:

hope this helps have a good rest of your afternoon :) ❤

Please help me with this begging!!!

Answers

Answer:

the second and last one

Step-by-step explanation:

only ones that equal to the same amount at the question all others = -6 which is incorrect.

Which of the following combinations cannot be the side lengths of a triangle?

A. 4.8 inches, 5 inches, and 1.2 inches
B. 6.7 inches, 1.1 inches, and 7.9 inches
C. 2.5 inches, 2.5 inches, and 2.5 inches
D. 2.3 inches, 3.4 inches, and 3.2 inches

Answers

Answer:

B.  6.7 inches, 1.1 inches, and 7.9 inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the triangle side length theorem

The sum of the two smaller sides must be greater than the larger sides.

B is i the only one where the two smallest sides combined is smaller than the greater side

[tex]6.7 + 1.1 > 7.9 {?}[/tex]

Isn't since since 7.8 is less than 7.9 so B is the answer

Drag each label or value to the correct location on the image. Each label or value can be used more than once, but not all labels or values will be used.

A physics student drops a ball from a height of 64 feet into a vacant parking lot. After one bounce, the height of the ball is 48 feet, and after two bounces, the height of the ball is 36 feet.

This situation can be modeled by the following exponential function.

f(x)=64(0.75)^x

Complete the sentences below.

The variable, (___), represents the number of times the ball bounces.
The variable,(___), represents the height of the ball after (___) bounces.
The parameter,64, represents the (___) of the ball.
The parameter,0.75, represents the percentage of (___) left from each previous bounce.

A. Bounces
B. f(x)
C. 36
D. x
E. Initial height
F. Height

Answers

Answer:

x, f(x), x, initial height, and height

Step-by-step explanation:

The variable, x, represents the number of times the ball bounces.

The variable, f(x), represents the height of the ball after x bounces.

The parameter, 64, represents the initial height of the ball.

The parameter, 0.75, represents the percentage of height left from each previous bounce.

I need somone to solve this plz

Answers

the area would be 64

what is 9×10005

1 90,000
2 80,900
3 90,045​

Answers

Answer:

its 90,045

Step-by-step explanation:

just use a calculator

Option 3. 90,045

when you multiply you should get 90,045

Based on this picture, if ∠2 = 55˚then what is m∠4?
SHOW YOUR WORK PLEASE!

Answers

Answer:

Angle 4 is 125°

Step-by-step explanation:

A straight line has an angle of 180 °, therefore an equation can be set up to solve for angle 4

If angle 2 is 55°

angle 2 + angle 4 = 180°

55° + angle 4 = 180°

Subtract 55 from both sides

angle 4 = 125°

A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?

Answers

Answer:

72ft²

Step-by-step explanation:

A = ½ (12*12)

A = ½ * 144

A = 72ft²

Translate the figure 7 units left and 3 units down.
Plot all of the points of the translated figure.
You may click a plotted point to delete it.

Answers

Answer: The coordinates should be... (2,0) (-6,3) (-6,-2)

Step-by-step explanation:

The translation is (-6, -2), (-6, 3) and (0, 2).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

we have to translate 7 units left and 3 units down.

So, 7 units left shifting to the negative x-axis and 3 units down to negative y axis.

So, the coordinates will be (-6, -2), (-6, 3) and (0, 2)

Learn more about translation here:

https://brainly.com/question/28240374

#SPJ2

You owe $225 on your credit card. You make a $55 payment, but then you make a purchase of $87 worth of clothes. What is the integer that represents the balance owed on the credit card?

Answers

the answer is $-257

-225+55= -170

-170-87= -257

Find the area and perimeter of the shape below. Be sure to label your answer and shor
your work!

Answers

Answer:

Área: 26m2 Perimeter:22m

Step-by-step explanation:

Área: (b1=8 + b2=5)•h=4

13•4 =52 /2 =26

Perimeter: 5+5+4+8=22

How can you write an equation of a line when you are given the slope and the y-intercept of the line? Explain

Answers

Answer:

The linear equation that represents each function is y=mx+b. While The m represent the slop so instead of writing you write the slope provided. Then multiply by the X + b which is your Y-intercept.

Here is an example,

The slope is 2/3 and the y intercept is 6, write a linear equation for this sequence.

y= (2/3). X +6

HOPE THIS HELPS!

PLEASE HELP! PICTURE BELOW

Answers

Answer: 42

Step-by-step explanation: 7+7+7+7+7+7

Answer:

147 square feet.

Step-by-step explanation:

Basically you find the triangle’s area 7 x 7 / 2 = 24.5

two triangle = 49

total area = 196

subtract the two triangles from total area

196-49=147

HELP ME OUT PLEASE!!!! I posted this twice and I still need help

Answers

Answer:

13) Is a linear function. The points form a straight line

14) Is an exponential function. The points form a curved line.

14 is exponential as it’s a J curve

Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A Write and evaluate an expression to show Veronica’s age. Enter the correct answers in the boxes

Answers

Georgia is 33 years old
14-6=8 (because it says she’ll be 14 in 6 years)
5x8=40 (because it says 5 times her age)
40-7=33 (because it says 7 years younger)

x+6=14 is the equation used to find the Veronica age and Veronicas current age is 8 years.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Georgia is 7 years younger than 5 times the age of her daughter, Veronica.

Veronica will be 14 in 6 years

We need to find the Veronicas age.

Let x be the Veronicas age

x+6=14

Subtract 6 from both sides

x=14-6

x equal to forteen minus six.

we get eight

x=8

Hence, x+6=14 is the equation used to find the Veronica age and Veronicas current age is 8 years.

To learn more on Equation:

https://brainly.com/question/10413253

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Jason is j years old, and Stella is s years old. Stella is 3 years older than Jason. Which equation properly compares their ages?

Answers

j+3=s
...............

Can somebody solve this real fast

Answers

i’m pretty sure the answer to that is b
I think the answer is 38, it can’t be bigger than 90°

how do I figure this out

Answers

Answer:

c

Step-by-step explanation:

positive numbers and numbers without and sign are positive, and you will go from positive large to negative large

b

the plus sign indicates the number is positive (greatest, as it goes down you see the minus sign, indicating it’s a negative (least)
the number line goes from least to greatest, so you would just have to go backwards
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