Problems on Ages TNPSC Previous Year Questions - 1
Question: 1
The present age of Mr. Sanyal is three times the age of his son. Six years hence, the ratio of their ages will be 5 : 2. What is the present age of Mr. Sanyal?
(A) 48 years
(B) 54 years
(C) 56 years
(D) 60 years
Ans: B
Let the son’s age be x years.
Then, Mr. Sanyal’s age = 3x years.
∴ $${3x + 6} / {x + 6}$$ = $${5}/{2}$$ ⇒ 2 (3x + 6) = 5 (x + 6)
⇒ 6x + 12 = 5x + 30
⇒ x = 18.
∴ Present age of Mr. Sanyal = 3x years = (3 × 18) years = 54 years.
Question: 2
Ratio between the ages of Subhash, Prasad and Amar is 3 : 6 : 7. If the difference between the ages of Prasad and Amar is 10 years, then what is the difference between the ages of Subhash and Prasad?
(A) 5 years
(B) 10 years
(C) 20 years
(D) 30 years
Ans: D
Let Subhash’s age be 3x years.
Then, Prasad’s age = 6x years and Amar’s age = 7x years.
∴ 7x - 6x = 10
⇒ x = 10.
Required difference = (6x - 3x) = 3x years = (3 × 10) years = 30 years.Question: 3
18 years ago, a man was three times as old as his son. Now, the man is twice as old as his son. The sum of the present ages of the man and his son is
(A) 54 years
(B) 72 years
(C) 108 years
(D) 118 years
Ans: C
Let the son’s age 18 years ago be x years.
Then, man’s age 18 years ago = 3x years.
(3x + 18) = 2(x + 18)
⇒ 3x + 18 = 2x + 36
⇒ x = 18.
Sum of their present ages = (3x + 18 + x + 18) years
= (4x + 36) years
= (4 × 18 + 36) years = 108 years.
Question: 4
Reenu’s father was 38 years of age when she was born while her mother was 36 years old when her brother 4 years younger to her was born. What is the difference between the ages of her parents?
(A) 2 years
(B) 4 years
(C) 5 years
(D) 6 years
Ans: D
Mother’s age when Reenu’s brother was born = 36 years.
Father’s age when Reenu’s brother was born = (38 + 4) = 42 years.
Required difference = (42 - 36) years = 6 years.
Question: 5
At present, Suresh’s ae is twice the age of his daughter. After 6 years from now, the ratio of the ages of Suresh and his daughter will be 23 : 13. What is the present age of Suresh?
(A) 36 years
(B) 38 years
(C) 40 years
(D) 46 years
Ans: C
Let daughter’s age be x years.
Suresh’s age = 2x years.
∴ $${2x + 6} / {x + 6}$$ = $${23}/{13}$$ ⇒ 13 (2x + 6) = 23 (x + 6)
⇒ 26x + 78 = 23x + 138 ⇒ 3x = 60 ⇒ x = 20.
Present age of Suresh = 2x years = (2 × 20) years = 40 years.
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