Question

Divide 150 into three parts, such that the second number is five-sixths of the first and the third Number is four-fifths of the second.

Answer 1

Let first part of 150 is x

Second part = 5x/6

Third part = ($\frac{4}{5}$) x ($\frac{5x}{6}$) = $\frac{4x}{6}$

Sum of three part = 150

x + $\frac{5x}{6}$ + $\frac{4x}{6}$ = 150

$\frac{15x}{6}$ = 150