the average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of girls is 15.4 years. Find the ratio of the number of boys to the number of girls.
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Let no. of boys be x and girls be your.
Then,
(x×16.4+y×15.4)/(x+y) = 15.8
So,
16.4x + 15.4y = 15.8×(x+y)
16.4x + 15.4y = 15.8x + 15.8y
On equating the above equation
16.4x-15.8x = 15.8y-15.4y
0.6x =0.4y
Ratio of girls to boys
0.4y/0.6x
2: 3
Hope it will help
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