# What will be the Ratio of the Number of Boys and Girls? If

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:

- 1:2
- 2:3
- 3:4
- 5:5
- data inadequate

**Answer: (2) 2 : 3**

**Explanation:-**

Let the ratio of boys & girls = X : Y

The average age of students of a class = 15.8 years.

The total age of students of a class = 15.8 x (X + Y )

The average age of boys = 16.4 years

The total age of boys = 16.4 X

The average age of girls = 15.4 years

The total age of girls = 15.4 Y

Then, 16.4 X + 15.4 Y = 15.8 (X + Y)

16.4 x + 15.4 y = 15.8 x + 15.8 Y

16.4 X – 15.8 X = 15.8 Y – 15.4 Y

.6 X = .4 Y

6 X = 4 Y

X/Y = 4/6

X/Y = 2/3

X : Y = 2 : 3

Hence, the answer is (2) 2 : 3.