Question

The number of boys and the girls in the class are in the ratio 7:5. The number of boys is eight more than the number of girls. What is the total class strength? Answer with proper explanation ya main report karun ......

Answer 1

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

According to the given condition, we have

Number of boys = Number of girls +8

⇒7x=5x+8

⇒7x−5x=8 ....[Transposing 5x to LHS]

⇒2x=8

⇒x=

2

8

=4

Therefore, number of boys =7×4=28 and number of girls =5×4=20

So, total number of children in the class =28+20=48.

Hence, the class strength is 48.

Answer 2

Given:

• Ratio of number of boys to girls = 7:5
• Number of boys more than girls = 8

To Find:

Total strength of the class.

Solution:

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

According to the question,

$7x=5x+8\\\implies 7x-5x=8\\\implies 2x= 8$

Now, finding the value of x

$\implies x=\frac{8}{2} \\\implies x= \boxed{4}$

∴ Number of boys = $7 \times 4 =\boxed{28}$

Number of girls = $5 \times 4 = \boxed{20}$

Total number of students = $20+28= \boxed{48}$

Thus, the number of boys are 28, girls are 20 and the total number of students are 48.