Question

IN a class of 90 students number of girls in 2/3 of boys. find the number of boys in the class

Answer 1

QUESTION::

In a class of 90 students number of girls in 2/3 of boys. find the number of boys in the class .

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ANSWER::

As given;

In a class of 90 students number of girls in 2/3 of boys. We have to find the number of boys in the class .

Let the number of boys be 'n'

Number of girls will be 'n × $\frac{\large{2}}{\large{3}}$'

= '$\frac{\large{2n}}{\large{3}}$' is the number of girls .

According to question;
Total strength = 90

Equation according to question;

n + $\frac{\large{2n}}{\large{3}}$ = 90

➡ $\frac{\large{3n + 2n}}{\large{3}}$ = 90

➡$\frac{\large{5n}}{\large{3}}$ = 90 ( Cross multiply )

➡ 5n = 90 × 3

➡ 5n = 270

➡ n = $\frac{\large{270}}{\large{5}}$

➡ n = 54

Number of boys = n = 54

THEREFORE YOUR ANSWER IS :-

$\boxed{ 54 }$

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