Question

2/5(m-2)+3/10(m+2)=24 transposition method

Answer 1

Solution ;

$\sf \frac{2}{5} (m - 2) + \frac{3}{10} (m + 2) = 24 \\ \\ \sf \frac{2}{5} m - \frac{4}{5} + \frac{3}{10} m + \frac{6}{10} = 24 \\ \\ \sf \frac{2}{5} m + \frac{3}{10} m = 24 + \frac{4}{5} - \frac{6}{10} \\ \\ \sf \frac{4m + 3m}{10} = \frac{240 + 8 - 6}{10} \\ \\ \sf \frac{7m}{10} = \frac{242}{10} \\ \\ \sf 7m = 242 \\ \\ \sf m = \frac{242}{7} = 34.5$

Verification :

Putting the value of m = 34.5,

$\sf \frac{2}{5} (34.5 - 2) + \frac{3}{10} (34.5 + 2) = 24 \\ \\\sf \frac{2}{5} (32.5) + \frac{3}{10} (36.5) = 24 \\ \\ \sf \frac{65}{5} + \frac{1095}{100} = 24 \\ \\ \sf \frac{1300 + 1095}{100} = 24 \\ \\ \sf 23.95 \neq 24 \\ \\ 24 = 24(approx)$

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