Question

x+y     3
----- = ---- x-y=16
x-y      2

x+3y=??

Answer 1

$\frac{x+y}{x-y}= \frac{3}{2} \\ \\ \left \{ {{2(x+y)=3(x-y)} \atop {x-y=16}} \right.=\ \textgreater \ 2(x+y)=3\cdot16=48=\ \textgreater \ x+y=24 \\ x+y=24 \\ x-y=16=\ \textgreater \ x=y+16 \\ y+16+y=24 \\ 2y=8=\ \textgreater \ y=4 \\ x=4+16=\ \textgreater \ x=20 \\ x+3y=20+3\cdot4=20+12=32$

Answer 2

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