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

# The average age of boys in the class is twice the number of girls in the class. If the ratio of the boys and girls in the class of 36 be 5:1, what is the total age of the boys in the class.

1. A
420 years
2. B
196 years
3. C
490 years
4. D
360 years

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### Solution:

Concept: First, since the ratio of boys to girls is let the number of boys be and  the number of girls be . Then create an equation using the given conditions and solve  the value of x. Substitute the value of to find the total number of girls and boys. Then apply the average formula  to find the  total age of the boys in the class.
number of boys number of girls average age of boys years
Required sum of ages
years years.
Hence, option 4 is correct.

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