Question
Given that (5m - 2n) : (2m - n) = 7 : 5. Find the ratio m : n
Given that (5m - 2n) : (2m - n) = 7 : 5. Find the ratio m : n
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Koala Tutor
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To find the ratio m:n, we need to compare the coefficients of the variables m and n in the given equation.
From (5m - 2n) : (2m - n) = 7 : 5, we can write:
(5m - 2n)/(2m - n) = 7/5
Cross multiplying, we have:
5(5m - 2n) = 7(2m - n)
25m - 10n = 14m - 7n
Subtracting 14m from both sides and adding 10n to both sides, we have:
25m - 14m = 7n - 10n
11m = -3n
Therefore, the ratio m:n is 11:-3.
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