Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

General Ability

Topic

Age Problems

Question:

The sum of ages of father, a mother, a son Rohit and daughters Savita and Kavita is 96 years. Rohit is youngest member of family. When Rohit was born, sum of ages of all member of family was 66 years. If the age of father at present is 6 times that of Rohit's present age, then 12 years hence the father's age will be:

Options:

36 years

42 years

48 years 

50 years

Correct Answer:

48 years 

Explanation:

Father + Mother + Savita + Kavita = 66  ( When Rohit was born )

Let Rohit age at present = x

ATQ,

⇒ Sum of age of all members at present = 96 years

⇒  (F + x) + (M + x ) + x + (S + x ) + ( K + x ) = 96

⇒ (F + M + S + K) + 5x = 96

⇒ (66) + 5x = 96 

⇒ x = \(\frac{30}{5}\) = 6 

Now,

F : R = 6 : x, here x = 6, then F = 36 

Age of father after 12 year = 36 + 12 = 48 years