The average age of 80 boys in a class is 15 years The average age of a group of 15 boys in the class...........

Quantitative Aptitude ( CCS) Average

The average age of 80 boys in a class is 15 years, The average age of a group of 15 boys in the class is 16 years and the average age of another 25 boys in the class is 14 years. What is the average age of the remaining boys in the class?

15.25 years

14 years

14.75 years

Cannot be determined

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Explanation:

(Tricky Approach)
Let the required average be x years
then 80 × 15 = 15 × 16 + 25 × 14 + 40 × x
= 40x = 1200 – 240 – 350 = 610
∴ x = 610/40 = 15.25 years