1.

Divide 54 into two parts such that one part is 2/7 of the others

Answer» LET PARTS are X and 2x/7




Their SUM = 54

x + \frac{2x}{7} = 54 \\ \\ => \frac{7x + 2x}{7} = 54 \\ \\ => \frac{9x}{7} = 54 \\ \\ => x = \frac{54 \times 7}{9} \\ \\ => x = 6 \times 7 \\ \\ => x = 42




Hence, NUMBERS are

x = 42 \\ \\ \frac{2x}{7} = \frac{2 \times 42}{7} = \frac{2 \times 6}{1} = 12


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