please help!

The sum of two numbers is 25. When the larger (x) is divided by the smaller (25 - x), the quotient is 2 with a remainder of 1. What are the two numbers?
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Call the numbers a and b. So a+b=25. We also know b=2a+1. Substitute this value for b: a+2a+1=25, so 3a=24 and a=8. Therefore b=25-8=17. Check these numbers against the given conditions. They add up to 25 and 8 goes into 17 twice remainder 1.

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