Question

The sum of two numbers is 256. When we divide the larger number by the smaller number, the quotient is 8 and the remainder is 13. Find the two numbers.

Answer 1

The numbers are 229 and 27

Explanation:

Let the numbers be x and y, where x>y.

Their sum is 256, so we have
`x+y=256`.

When we divide the larger number by the smaller number, the quotient is 8 and the remainder is 13.

`x=8y+13`

We substitute the second equation into the first equation to get:

`8y+13+y=256`.

`8y+y=256-13`

`9y=243`

`x=27`

`x=8*27+13`

`x=8*27+13`