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Question 54
The average ages of boys and girls in a class is 14.5 years and 15 years respectively. If the ratio of the number of boys and girls is 2 : 3, then whatis the average age(in years) of all students in the class?
Solution
let the number of boys be 2x and girls be 3x
Sum of ages of all the boys=14.5*2x
=29x
Sum of ages of all the girls=15*3x
=45x
Sum of ages all the boys and girls=29x+45x
=74x
Total strength of the class=2x+3x=5x
Average=74x/5x
=14.8
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