Exams › SSC CGL (Prelims) › General

If \(m:n = 8:3\), find \((7m + 4n):(7m - 4n)\).

1. 19:11
2. 17:13
3. 17:11
4. 34:22

Correct answer: 17:11

Solution

Given \(m:n=8:3\), let \(m=8x\) and \(n=3x\). Then \(7m+4n=56x+12x=68x\) and \(7m-4n=56x-12x=44x\), so the ratio is \(68:44 = 17:11\).

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