x:y = 3:7
y-x = 56
The answer is;
y-x = 7-3
= 4
y-x = 56/4
= 14
x = 14x3
=42 #
We have:
\(\frac{x}{y}=\frac{3}{7}\)
which means that \(y=\frac{7}{3}x\)
Use this in y - x = 56 to get \(\frac{7}{3}x-x=56 \rightarrow\frac{4}{3}x=56\rightarrow x=\frac{3\times56}{4}\rightarrow x=3\times14\rightarrow x=42\)
Use this in y - x = 56 to get y - 42 = 56 or y = 98