If m: n=3: 2, then find the ratio (4 m+5 n):(4 m-5 n). (S.S.C., 2007, 2008) · ABC26GN2916
Subject: General Aptitude · Chapter: Ratio and Proportion
If $m: n=3: 2$, then find the ratio $(4 m+5 n):(4 m-5 n)$. (S.S.C., 2007, 2008)
Answer
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Explanation
$\frac{m}{n} = \frac{3}{2} \Rightarrow \frac{4m+5n}{4m-5n} = \frac{4 \times \frac{m}{n} + 5}{4 \times \frac{m}{n} - 5} = \frac{4 \times \frac{3}{2} + 5}{4 \times \frac{3}{2} - 5} = \frac{11}{1}$. $\therefore (4m+5n) : (4m-5n) = 11 : 1$.
Explanation as extracted from the printed page; notation may be imperfect.
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