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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.

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420 years

196 years

490 years

360 years

answer is D.

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Detailed 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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