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In a colony, the average age of the boys is 14 years and the average age of the girls is 17 years. If the average age of the children in the colony is 15 years, find the ratio of number of boys to that of girls.A. 1 : 2B. 2 : 1C. 2 : 3D. 3 : 2 |
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Answer» Correct Answer - B Given, Avg. age of boys = 14 years Abg. Age of girls = 17 years Avg. age of children in society = 15 years Let no. of boys be x, and No. of girls be y `rArr "Sum of boys" = 14 xx "no. of boys"` Sum of girls = 17 `xx` no. of girls. Sum of children = 15 `xx` (no. of boys + no. of girls) `rArr 14 xx "no. of boys" + 17 xx "no. of girls" = 15 xx (x + y)` `rArr 14x + 17y = 15x + 15y` `rArr x 〿2y =0` `rArr x = 2y` `therefore x : y = 2 : 1` Hence, option (b) is correct. |
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