Question

Find m:n, if 5m+n / n-m =9/7​

Answer 1

Answer:

Question

Find m:n, if 5m+n / n-m =9/7

Solution

$\sf{ \to \: \frac{5m + n}{n - m} = \frac{9}{7}} \\ \\ \sf{ \to(5m + n}) \times 7 = 9(n - m) \\ \\ \sf{ \to \:35m + 7n } = 9n - 9m \\ \\ \sf{ \to \: 35m + 9m = 9n - 7n} \\ \\ \sf{ \to \: 44m = 2n} \\ \\ \sf{ \to \frac{m}{n} = \frac{2}{44} } \\ \\ \sf{ \to \: \frac{m }{n} = \frac{1}{22}}$

therefore m:n = 1:22

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