Quantitative Aptitude Ques 1537

Question: The average of three numbers is 52. The first is half of second and the second is twice the third. The difference between the second and first number is

Options:

A) 78

B) 39

C) 72

D) 38

Show Answer

Answer:

Correct Answer: B

Solution:

  • (b) Let the third number be x, then the second number $ =2x $ and the first number $ =\frac{2x}{2}=x $ Now, $ 52=\frac{x+2x+x}{3} $
    $ \Rightarrow $ $ 4x=52\times 3 $
    $ \Rightarrow $ $ x=\frac{52\times 3}{4}=39 $
    $ \therefore $ Difference $ =(2x-x)=x=39 $