The average age of a class was 16 years. When 4 boys whose average age was 13 years and 6 months were admitted the class, average was 15 years 7 months. How many boys were there after the new admission?
A. 24
B. 16
C. 21
D. None of these
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Answer = 24
Explanation :
Let the number of boys after new admission be x
therefore No. of boys before admission = x - 4
Total age of boys before admission = 16 ( x - 4 ) years
No. of boys of new admission = 1
therefore Total age of boys of new admission = 4 * 13.5 = 54 years
Total age of all boys after new admission = x * 15 * 7 / 12 years
Therefore 16(x-4)+54 = 187x/12
Therefore x = 24