Question

In a class room, three-fourth of the boys are above 160 cm in height and they are 18 in number. Also out of the total strength, the boys form only two-third and the rest are girls. Find the total strength of the class.

Answer 1

Let there are total $x$ boys in the class then

Given that:

$\frac{3x}{4}=18$

$x\Rightarrow 6\times 4$

$x=24.$

$\therefore$ There are total $24$ boys in the class.

Now, it is given that the total strength of boys form only two-third of the class then

$\frac{2y}{3}=24$

Where $y$ it the total strength of the class including girls.

Hence,

$y=12\times 3$

$y=36.$

This is the required solution.