Question : Directions: A father tells his son, "I was three times your present age when you were born". If the father's present age is 48 years, how old was the boy 4 years ago?
Option 1: 24 years
Option 2: 8 years
Option 3: 12 years
Option 4: 16 years
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Correct Answer: 8 years
Solution : Let the present age of the son be A years. Father's age at the time of the birth of his son = (3 × A) years
Father's present age = Father's age at the time of the birth of his son + Present age of the son ⇒ Father's present age = 3A + A = 4A years
But, the father's present age is 48 years. ⇒ 4A = 48 ⇒ A = 12 years The present age of the son is 12 years. 4 years ago, Son's age = 12 – 4 = 8 years
So, the age of the son 4 years ago was 8 years. Hence, the second option is correct.
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Question : Directions: A father is 5 times as old as his son. His son is 6 years old. After how many years, will the father be 4 times as old as his son?
Option 1: 5 years
Option 2: 6 years
Option 3: 4 years
Option 4: 2 years
Question : After 4 years, Ramesh's age will be 50% more than what his age was 16 years ago. What is his present age?
Option 1: 56 years
Option 2: 52 years
Option 3: 54 years
Option 4: 46 years
Question : Directions: The mother was three times the age of her daughter five years ago. After five years, the mother will be twice as old as her daughter. How old is the daughter today?
Option 2: 10 years
Option 3: 15 years
Option 4: 20 years
Question : Four years ago, Shyam's age was $\frac{3}{4}$th times that of Ram. Four years hence, Shyam's age will be $\frac{5}{6}$th times that of Ram. What is the present age of Shyam?
Option 2: 20 years
Option 3: 16 years
Option 4: 15 years
Question : Directions: The age of the father is twice that of the elder son. After ten years, the age of the father will be three times that of the younger son. If the difference in ages of the two sons is 15 years, the age of the father is?
Option 1: 70 years
Option 2: 55 years
Option 3: 50 years
Option 4: 60 years
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