Learn Ncert All Solutions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# 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 girls. What is the total class strength?

**Solution:**

The number of boys to girls is in the ratio of 7:5

So, we can infer that

Number of boys in class = 7x

Number of girls in class = 5x

Since the number of boys is 8 more than the number of girls,

⇒ 7x = 5x + 8

⇒ 7x - 5x = 8

⇒ 2x = 8

⇒ x = 4

Therefore,

Number of boys in class = 7x = 28

Number of girls in class = 5x = 20

Total class strength = Number of boys + Number of girls

= 28 + 20 = 48

Thus, the total strength of the class is 48 students.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 2

**Video Solution:**

## 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 girls. What is the total class strength?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 10

**Summary:**

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 girls. The total class strength is 48.

**☛ Related Questions:**

- Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
- Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
- A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?
- Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have?

Math worksheets and

visual curriculum

visual curriculum