SOLUTION: The difference of 2 numbers is 25. The smaller is 5 more than half the larger number. Find both numbers.

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Question 110259: The difference of 2 numbers is 25. The smaller is 5 more than half the larger number. Find both numbers.
Answer by solver91311(24713) About Me  (Show Source):
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The difference of two numbers is 25 means: x-y=25. Half of the larger number would be x%2F2, and 5 more than that would be x%2F2%2B5, so we can write y=x%2F2%2B5
:
The simplest thing to do at this point is to substitute for y in the first equation:
:
x-%28x%2F2%2B5%29=25
x-x%2F2=30
2x-x=60
x=60
:
60-y=25
y=35
:
Check:
The difference between 60 and 35 is 25. Half of 60 is 30 and 5 more is 35. Check.