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?
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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