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7 pupils of average age 12 years leave a class of 25 pupi...

7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?

A.

13years

B.

12 years 712 months

C.

13 years 5 months

D.

13 years 10 months

E.

11 years

Correct answer is D

Total age of the 7 pupils = 7 x 12 = 84

Total age of the 25 pupils = 25 x 14 = 350

Total age of the 6 pupils = 6 x 11 = 66

7 pupils leaving a class of 25 pupils given 18 pupils

Total age of the 18 pupils = 350 - 84 = 266

6 pupils joining 18 pupils = 24

Total age of 24 pupils = 266 + 66 = 332

Average age of 24 pupils now in class 33224

= 13yrs 10 months