Average age of 15 students is 14 years. If average of first 8 students is 16 years and
the average of last 8 student is 12 years. The find the age of 8th student.
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Basic method :-
Total age of 15 students = 15*14 = 210
Total age of first 8 = 8*16 = 128
Total age of last 8 students = 8*12 = 96
Total age of 16 students = 128+96 = 224
Age of 8th student = 224-210 = 14 years (ans.)
Shortcut : -
Age of 8th student = [8(16+12) - 15 * 14] = (224-210) = 14 years. (ans.)
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