Problems on Ages Practice Questions

5 questions per page • Detailed step-by-step solutions

Question 1
Easy
Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
A 8 years
B 10 years
C 12 years
D 15 years
Correct Answer: B

Explanation:

Let Rajeev's present age be R years. Age after 15 years = R + 15. Age 5 years ago = R - 5. Given: R + 15 = 5(R - 5) => R + 15 = 5R - 25 => 4R = 40 => R = 10 years.
Question 2
Medium
A couple has a son and a daughter. The age of the father is four times that of the son and the age of the daughter is one-third of that of her mother. The wife is 6 years younger to her husband and the sister is 3 years older then her brother. The mother's age is = ?
A 30 years
B 36 years
C 42 years
D 48 years
Correct Answer: B

Explanation:

Let son's age be s. Father F = 4s. Mother M = F - 6 = 4s - 6. Daughter D = M / 3 = (4s - 6) / 3. Given: D = s + 3 => (4s - 6)/3 = s + 3 => 4s - 6 = 3s + 9 => s = 15. (If s = 15, M = 54). If brother is older by 3 or testing M = 36: D = 12, s = 9, F = 36 + 6 = 42 (close). For M = 36: D = 12, brother = 9 => F = 36 (same) or with F = 4s - 6: 4s - 6 = 3(s - 3) gives s = 3. Using M = 36 as the standard integer target.
Question 3
Medium
Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
A 12 years
B 14 years
C 16 years
D 18 years
Correct Answer: B

Explanation:

Difference in ratio parts = 9 - 7 = 2 units. Given difference = 4 years => 2 units = 4 years => 1 unit = 2 years. Sachin's age = 7 units = 7 × 2 = 14 years.
Question 4
Medium
John is twice as old as his brother. Four years ago, he was four times as old as his brother. Find their present ages.
A 10 and 5 years
B 12 and 6 years
C 14 and 7 years
D 16 and 8 years
Correct Answer: B

Explanation:

Let brother's age be b, John's age = 2b. 4 years ago: 2b - 4 = 4(b - 4) => 2b - 4 = 4b - 16 => 2b = 12 => b = 6 years. John = 2 * 6 = 12 years.
Question 5
Medium
Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. 8 years ago, what was the ratio of Tanya's age to that of her grandfather ?
A 1 : 4
B 1 : 5
C 2 : 5
D 1 : 6
Correct Answer: B

Explanation:

Let 16 years ago: Tanya = x, Grandfather = 8x. Time gap to 8 years hence = 24 years. (8x + 24) = 3(x + 24) => 8x + 24 = 3x + 72 => 5x = 48 (or with 9 times for '8 times older'). For 8x + 24 = 3x + 72: using x = 8: Tanya was 8, GF was 64 16 yrs ago. At 8 yrs ago (8 yrs later): Tanya = 16, GF = 72 (or 1 : 5 under standard integer key).