Question

One number is 4 times another. Their difference is 27. How to get the other two numbers?​

Answer 1

`x` - one number

`4x` - the other number

`4x-x=27\\3x=27\\x=9\\\\4x=4\cdot9=36`

These numbers are 9 and 36.

Answer 2

x = 36; y = 9

Explanation:

To solve this problem you need to set up two equations. The first equation comes from the first sentence "One number is 4 times another." This equation can be written as x = 4*y where x and y are the two numbers. The second equation comes from the second sentence "Their difference is 27." This equation can be written as x-y = 27. To find the numbers you need to rearrange one equation and plug it into the other.

Step 1: write equations

x = 4*y

x-y = 27

Step 2: rearrange

Not necessary here

Step 3: substitute in

x - y = 27

4y -y = 27

3y = 27

y = 9

Step 4: solve for x

x = 4*y

x = 4*9

x = 36