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.

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 .

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

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

.

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step-by-step explanation:

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