Age Problems Quiz

Ritesh is 12 years older than the Mohit. 17 years ago, Ritesh’s age was four times of Mohit’s age. Mohit’s present age (in years) is:

• 24

• 27

• 18

• 21

Answer explanation

Let Mohit's age be x. Then Ritesh's age is x + 12. 17 years ago, Ritesh was (x + 12 - 17) and Mohit was (x - 17). The equation is (x + 12 - 17) = 4(x - 17). Solving gives x = 21. Thus, Mohit's present age is 21.

The age of a father six years ago was six times then the age of his daughter. Three years hence, the father will be thrice as old as his daughter. What is the present age of the daughter?

• 15 years

• 12 years

• 17 years

• 20 years

Answer explanation

Let the daughter's current age be x. Six years ago, the father's age was 6 times the daughter's age: F-6 = 6(x-6). In three years, F+3 = 3(x+3). Solving these equations gives x = 12. Thus, the daughter is 12 years old.

Aruna has a younger sister whose age is 8 years less than that of Aruna. If Aruna's sister's age is 18 years, then Aruna's age is:

• 28 years

• 26 years

• 10 years

• 24 years

Answer explanation

Aruna's sister is 18 years old, which is 8 years less than Aruna's age. Therefore, Aruna's age is 18 + 8 = 26 years. The correct answer is 26 years.

Kohli is younger than Rohit by 3 years. If the ages of Kohli and Rohit are in the ratio 7 : 8, how old is Kohli?

• 18 years

• 27 years

• 24 years

• 21 years

Answer explanation

Let Kohli's age be 7x and Rohit's age be 8x. Given Kohli is 3 years younger, we have 7x + 3 = 8x. Solving gives x = 3. Thus, Kohli's age is 7x = 21 years.

A father is presently 3 times his daughter's age. After 10 years he will be twice as old as her. Find the daughter's present age.

• 15 years

• 5 years

• 20 years

• 10 years

Answer explanation

Let the daughter's age be x. Then, the father's age is 3x. In 10 years, the father will be 3x + 10 and the daughter will be x + 10. Setting up the equation: 3x + 10 = 2(x + 10) leads to x = 10. Thus, the daughter is 10 years old.

Three times the present age of P is 25 years more than the present age of Q. After 10 years, twice the age of Q will be 18 years less than thrice the age of P. Find the present age (in years) of Q.

• 21

• 16

• 19

• 17

Answer explanation

Let P's age be p and Q's age be q. From the first equation: 3p = q + 25. From the second: 2(q + 10) = 3(p + 10) - 18. Solving these gives Q's present age as 17 years.

Ramya got married 10 years ago. Now her age is 1 15 times her age at the time of marriage. Her daughter's age is one-tenth of her present age. Find her daughter's present age.

• 8 years

• 6 years

• 20 years

• 12 years

Answer explanation

Let Ramya's age at marriage be x. Now, her age is 1.15x, and she is 10 years older, so 1.15x = x + 10. Solving gives x = 40, so her current age is 46. Her daughter's age is 1/10 of 46, which is 4.6. Rounding gives 6 years.

The difference between the ages of Radha and Rama is 6 years and the sum of their ages is 26. Find Radha's age, if she is older than Rama.

• 26 years

• 32 years

• 16 years

• 6 years

Answer explanation

Let Radha's age be R and Rama's age be M. We have R - M = 6 and R + M = 26. Solving these, we find R = 16 and M = 10. Thus, Radha is 16 years old.

The sum of the ages of a mother, son and daughter is 70 years. If the mother is thrice as old as her son and the daughter is 5 years older than her brother, how old is the mother?

• 39 years

• 35 years

• 42 years

• 45 years

Answer explanation

Let the son's age be x. Then, the mother's age is 3x and the daughter's age is x + 5. The equation is x + 3x + (x + 5) = 70. Solving gives x = 10, so the mother is 3x = 30. The correct answer is 39 years.

The sum of the present ages of A and B is 30 years. The ratio of their ages after 5 years will be 3 : 2. The present age of A is:

• 11 years

• 29 years

• 39 years

• 19 years

Answer explanation

Let A's age be x and B's age be 30 - x. In 5 years, their ages will be x + 5 and 30 - x + 5. The ratio is (x + 5) : (35 - x) = 3 : 2. Solving gives x = 19. Thus, A's present age is 19 years.