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Question

If m+nm+3n=23, find 2n23m+mn

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Solution

rs


 \frac{m + n}{m + 3n}  =  \frac{2}{3}
3m + 3n = 2m + 6n
m = 3n
 \frac{n}{m}  =  \frac{1}{3}
s o space w e space space c a n space s a y space 3 n equals m fraction numerator 2 n squared over denominator 3 m squared plus 3 n squared end fraction equals fraction numerator 2 n squared over denominator 27 n squared plus 3 n squared end fraction equals fraction numerator 2 n squared over denominator 30 n squared end fraction equals 1 over 15

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