Quantitative Aptitude Ques 826

Question: Average age of 8 men is increased by 3 yr, when two of them whose ages are 30 yr and 34 yr are replaced by 2 persons. What is the average age of the 2 persons?

Options:

A) 24 yr

B) 32 yr

C) 44 yr

D) 48 yr

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the average age of 8 men be $ x $ yr. Then, sum of ages $ =8x $

$ \therefore $ $ \frac{8x+(Ageof2persons)-(30+34)}{8}=x+3 $

$ \Rightarrow $ $ 8x+ $ (Age of persons) $ -64=8x+24 $

$ \Rightarrow $ Age of 2 persons $ =64+24=88 $ Hence, average age of 2 persons $ =\frac{88}{2}=44yr $