Question

the number of boys and girls in a class are in the ratio 7 : 5 the number of boys is 8 more than the number of girl. what is the total class strength

Answer 1

Let number of boys be 7x
Girls = 5x
there are 2x more boys
given that 2x=8
x=4
total number of students = 7x+5x=12x

total strength = 12 × 4 = 48

there are 48 students in class

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Answer 2

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

According to the question,

7x = 5x + 8

⇒ 7x – 5x = 8

⇒ 2x = 8

⇒ x = 8/2

⇒ x = 4

Therefore, Number of boys = 7×4 = 28

And, Number of girls = 5×4 = 20

Total number of students = 20+28 = 48