Answer
$x=86,y=74$
Work Step by Step
As per the statement: $x-y=12$ and $\dfrac{x+y}{2}=80$
Plug $x=12+y$ in the second equation, then we get
$\dfrac{12+y+y}{2}=80 \implies 2y=148$
or, $y=74$
Now, $x-74=12 \implies x=86$
Thus, $x=86,y=74$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 3 - Section 3.2 - Problem Solving and Business Applications Using Systems of Equations - Exercise Set - Page 206: 33
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