Question
Download Solution PDFIf \(\frac{5 x+3 y}{5 x-3 y}=\frac{7}{3}\), then find x ∶ y.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\frac{5 x+3 y}{5 x-3 y}=\frac{7}{3}\)
Formula used:
Cross multiply to find the ratio of x to y.
Calculation:
\((5 x+3 y) \times 3 = (5 x-3 y) \times 7\)
⇒ \(15 x + 9 y = 35 x - 21 y\)
⇒ \(9 y + 21 y = 35 x - 15 x\)
⇒ \(30 y = 20 x\)
⇒ \(x \div y = 30 \div 20 = 3 \div 2\)
∴ x ∶ y = 3 ∶ 2
Last updated on Jun 17, 2025
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