Quantitative Aptitude Ques 1234

Question: The ratio of the ages of two persons is 4: 7 and age of one of them is greater than that of the other by 30 yr. The sum of their ages is

Options:

A) 110 yr

B) 100 yr

C) 70 yr

D) 40 yr

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the ages of two persons be $ 4x $ and $ 7x $ respectively. According to the question, $ 7x-4x=30 $

$ \Rightarrow $ $ 3x=30 $
$ \Rightarrow $ $ x=40 $ Age of first person $ =4\times 10=40yr $ Age of second person $ =7\times 10=70yr $ Sum of their ages $ =40+70=110yr $