Question

Question 88

Solve the following:

Divide 54 into two parts, such that one part is $\frac{2}{7}$ of the other.

Answer 1

Let the other part be x. Then, first part will be $\frac{2x}{7}.$
According to the question,
$x+\frac{2x}{7}=54\Rightarrow \frac{7x+2x}{7}=54\Rightarrow 9x=7\times 54\Rightarrow x=\frac{7\times 54}{9}\Rightarrow x=7\times 6\Rightarrow x=42$
Hence, the first part= $\frac{2\times 42}{7}=12$
and the other part=42