Question

28 is divided into two parts in such a way that $\frac{6}{5}$ of one part is equal to $\frac{2}{3}$ of the other. What would be the smallest part?

• A. 8
• B. 9
• C. 10
• D. 18

Answer 1

The correct option is C

10

Let one part be x.

Then other part = 28 - x

It is given $\frac{6}{5}$ of one part = $\frac{2}{3}$ of the other.

$\Rightarrow$ $\frac{6}{5}$x = $\frac{2}{3}$(28 - x)

$\Rightarrow$ 9x = 5(28 - x)

$\Rightarrow$ x = 10

The other part would be 28 - 10 = 18