Question

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Answer 1

x= 5/8 * y
x+y=130

x=5/8 * y => x=5y/8 
5y/8+y=130 => 5y+8y=1040 => 13y=1040 => y=80
x=130-80 => x=50

x*y= 50*80=4000

Answer 2

$\displaystyle a= \frac{5}{8} \cdot b \Rightarrow a=\frac{5b}{8} \\ a+b=130 \\ \frac{5b}{8} +b=130 \\ 5b+8b=130 \cdot 8 \\ 5b+8b=1040 \\ 13b=1040 \\ b= \frac{1040}{13} \\ b=80 \\ a+80=130 \Rightarrow a=130-80 \Rightarrow a=50 \\ a\cdot b=50 \cdot 80=4000 \\ a \cdot b =\boxed{4000}$