If the number of boys and girls in a class are in ratio 7:9 and there are 14 girls more than boys then find the number of boys in the class.

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Solution

The correct option is A
49

Given that the ratio of number of boys and girls in a class = 7:9

$∴$ Let the number of boys = 7 $x$ and number of girls = 9 $x$

The number of girls more than boys = 14 (given)

$\Rightarrow$ 9 $x$ - 7 $x$ = 14

$\Rightarrow$ 2 $x$ = 14

$\Rightarrow$ $x$ = 7

$∴$ Number of boys = 7 $x$ = 7 $\times$ 7

= 49

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If the number of boys and girls in a class are in ratio 7:9 and there are 14 girls more than boys then find the number of boys in the class.

The correct option is A 49 Given that the ratio of number of boys and girls in a class = 7:9 ∴ Let the number of boys = 7x and number of girls = 9x The number of girls more than boys = 14 (given) ⇒ 9x - 7x = 14 ⇒ 2x = 14 ⇒ x = 7 ∴ Number of boys = 7x = 7× 7 = 49