Question

The sum of two numbers is 278. One number is 52 more than the other number. What are the two numbers

Answer 1

The numbers are 165 and 113

Explanation:

Let

x ----> one number

y ----> the other number

we know that

`x+y=278` ----> equation A

`x=y+52` ----> equation B

substitute equation B in equation A

`(y+52)+y=278`

solve for y

`2y=278-52`

`2y=226`

`y=113`

Find the value of x

`x=y+52`

`x=113+52=165`

therefore

The numbers are 165 and 113