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
Correct Answer: A. 7:4
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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