Question

The average age of boys is twice the number of girls in a class. If the ratio of boys and girls in the class of 36 is 5:1, what is the total age of boys in the class (yrs)

Answer 1

Given, number of students in the class is 36

Given, ratio of boys : girls is 5 : 1


Let the constant be x

Ratio of Boys : Girls = 5x : 1x

Let the total number of students in the class, be the sum.


According to the question,

5x + 1x = 36

➾ 6x = 36

➾ x = $\dfrac{36}{6}$

➾ x = 6



Number of boys ➾ 5x

➾ 5 × 6

➾ 30


Number of girls ➾ 1x

➾ 1 × 6

➾ 6



Average of the boy's age ➾ 2 × number of girls

➾ 2 × 6

➾ 12



Average of the age of 30 boys ➾ 12

Sum of the age of the 30 boys ➾ 30 × 12

➾ 360




∴ The total of the age of the boys is 360 years old

Answer 2

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Number of students in the class

= 36

Ratio of boys and girls :-

= 5 : 1

Let the number be p

Ratio of Boys and Girls

= 5p : 1p

Suppose the total number of students in the class be the sum.

Here :-

5p + 1p = 36

=> 6p = 36

=> x = $\bf\huge\frac{36}{6}$

=> x = 6

Number of boys = 5x

= 5 × 6

= 30

Number of girls = 1p

= 1 × 6

= 6

Average of the boy's age

= 2 × Number of girls

= 2 × 6

= 12

Average of the age 30 boys :-

= 12

Sum of the age of 30 boys :-

= 30 × 12

= 360

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