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# 10.The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the numbers of girls. What is the total class strength?

Let the number of boys be 7x
and the number of girls be 5x

As per the conditions given, we get

7x – 5x = 8

$$\Rightarrow$$ 2x = 8

$$\Rightarrow$$x = 8 ÷ 2 = 4 (transposing 2 to RHS)

Hence we got the required number of boys = 7× 4 = 28

and the number of girls = 5 × 4 = 20

Hence, total class strength = 28 + 20 = 48