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

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) (Show Source): You can put this solution on YOUR website!
The difference of two numbers is 25 means: . Half of the larger number would be , and 5 more than that would be , so we can write
:
The simplest thing to do at this point is to substitute for y in the first equation:
:

:
Check:
The difference between 60 and 35 is 25. Half of 60 is 30 and 5 more is 35. Check.
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