Question

The average age of a class is 14.8 years. The average age of the boys in the class is 15.4 years and that of girls is 14.4 years. What is the ratio of boys to girls in the class?

Answer 1

your answer is 2:3. take a look at picture.

Answer 2

Answer:

Required ratio of boys to girls is 2:3.

Step-by-step explanation:

Given average age of class is 14.8 years.

and average age of boys in the class is 15.4 years and average age of girls is 14.4 years

Let number of boys be x and number of girls be y.

So,total number of girls and boys is (x+y)

Now total sum of ages of all students of class

$= 14.8 \times (x + y) \: years$

and sum of ages of boys

$= (15.4 \times x )\: years$

and sum of ages of girls

$= (14.4 \times y )\: years$

Now we can say,

$14.8 \times (x + y) = 15.4x + 14.4y \\ 14.8x + 14.8y = 15.4x + 14.4y \\ 15.4x - 14.8x = 14.8y - 14.4y \\ 0.6x = 0.4y \\ \frac{x}{y} = \frac{0.4}{0.6} \\ \frac{x}{y} = \frac{4}{6} \\ \frac{x}{y} = \frac{2}{3}$

Therefore,

$x:y = 2:3$

Hence required ratio of boys to girls is 2:3.

This is a problem of ratio.

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