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One number is 5 more than the other and their sum is three less than three times the smaller. Find the numbers

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Start off with X. If X=5+Y and X+Y=3Y-3 set up a system of equations problem to solve. You can plug in 5+Y for X in the second equation. 5+Y+Y=3Y-3. Combine like terms and 5+2Y=3Y-3.
Isolate the variable and you get Y=8. The smaller number is 8 and the larger number is 13.
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