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if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n

Mathematics
WAEC 2001

if \(\frac{4m+3n}{4m-3n}=\frac{5}{2}\), find the ratio m:n

  • A. 7:4
  • B. 4:3
  • C. 3:4
  • D. 4:7
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Correct Answer: Option A
Explanation

\(\frac{4m + 3n}{4m - 3n} = \frac{5}{2}\)

\(5(4m - 3n) = 2(4m + 3n)\)

\(20m - 15n = 8m + 6n\)

\(20m - 8m = 6n + 15n\)

\(12m = 21n\)

\(\frac{21}{12} = \frac{m}{n}\)

\(m : n = 7 : 4\)


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