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

Answer:

The numbers are 229 and 27

Step-by-step 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:

$8y+13+y=256$.

$8y+y=256-13$

$9y=243$

$x=27$

$x=8*27+13$

$x=8*27+13$