Question

The number of boys and girls in a class are in the ratio 3 : 2. The number of boys is 5 more than the number of girls. What is the total class strength?

Answer 1

$let \: no. \: of \: boys = 3x \\ \\ no. \: of \: girls = 2x \\ \\ ATQ \\ \\ = > 2x + 5 = 3x \\ \\ = > 2x - 3x = - 5 \\ \\ = > - x = - 5 \\ \\ = > x = 5 \\ \\ no. \: of \: boys \: = 3 \times 5 \\ = > 15 \\ \\ no \: of \: girls = 2 \times 5 \\ = > 10 \\ \\ \: total \: strength = 15 + 10 \\ = > 25$

Answer 2

Answer:

25

Step-by-step explanation:

Let number of girls be x

number of boys=x+5

according to question,

3/2=(x+5)/x

=>3x=2x+10

=>x=10

so, x+5=15

total strength=10+15=25

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