Problems on Ages
- 1. Pushpa is twice as old as Rita was two years ago. If the difference between their ages be 2 years, how old is pushpa today?
Options- A. 6 years
- B. 8 years
- C. 10 years
- D. 12 years Discuss
Correct Answer: 8 years
Explanation:
Let Rita's age of 2 years ago be x years.
? Pushpa's present age = 2x years
? 2x - (x + 2) = 2
? x = 4
? Pushpa's present age = 8 years.
- 2. Five years ago Vinay's age was one-third of the age of Vikas and now Vinay's age is 17 years. What is the present age of Vikas?
Options- A. 9 years
- B. 36 years
- C. 41 years
- D. 51 years Discuss
Correct Answer: 41 years
Explanation:
Let the present age of the Vikas be x years. Then,
17 - 5 = (x - 5)/3
? x - 5 = 36
? x = 41 years
- 3. The age of a man is 4 times that of his son. Five years ago, the man was nine times as old as his son was at that time. The present age of the man is?
Options- A. 24 years
- B. 32 years
- C. 40 years
- D. 44 years Discuss
Correct Answer: 32 years
Explanation:
Let the son's be x years, then father's age = 4x years
? (4x - 5) = 9(x - 5)
? 5x = 40
? x = 8
? Present age of the man = 32 years
- 4. The sum of the ages of a father and son is 45 years. Five years ago the product of their ages was 4 times the father's age at that time. the present ages of the father's and son respectively are?
Options- A. 25 years, 10 years
- B. 36 years, 9 years
- C. 39 years, 6 years
- D. None of these Discuss
Correct Answer: 36 years, 9 years
Explanation:
Let the present age of the father and son be x years and (45 - x)years respectively.
Then, (x - 5)(45 - x - 5) = 4(x - 5)
? -x2 + 41x - 180 = 0
? (x - 5)(x - 36) = 0
? x = 36
? The present ages of father and son are 36 years and 9 years respectively.
- 5. Shyam's age is 3 times that of Ramesh. After 12 years, Shyam's age will be double the age of Ramesh. Shyam's present age is?
Options- A. 27 years
- B. 32 years
- C. 36 years
- D. 40 years Discuss
Correct Answer: 36 years
Explanation:
Let Ramesh's present age be x years. Then Shyam's present age = 3x years.
? 2(x + 12) = (3x + 12)
? x = 12
Hence, Shyam's present age is 36 years.
- 6. After 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older then B, the present age of B is?
Options- A. 19 years
- B. 29 years
- C. 39 years
- D. 49 years Discuss
Correct Answer: 39 years
Explanation:
Let the present ages of B and A be x years and (x + 9) years respectively.
Then, (x + 9 + 10) = 2(x - 10)
? x = 39
- 7. The sum of the ages of a son and father is 56 years. After four years, the age of the father will be three times that of the son. their present ages respectively are?
Options- A. 12 years, 44 years
- B. 16 years, 42 years
- C. 16 years, 48 years
- D. 18 years, 36 years Discuss
Correct Answer: 12 years, 44 years
Explanation:
Let the present ages of son and father be x years and (56 - x) years respectively.
Then, (56 - x + 4) = 3(x + 4)
? 4x = 48
? x = 12
So, their present ages are 12 years, 44 years respectively.
- 8. Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4. What will be the total of their present ages?
Options- A. 8 years
- B. 20 years
- C. 35 years
- D. 45 years Discuss
Correct Answer: 35 years
Explanation:
Let A's age 10 years ago = x years
Then, B's age 10 years ago = 2x years
? (x + 10) / (2x + 10) = 3 / 4
? 4(x + 10) = 3(2x + 10)
? x(6 - 4) = 40 - 30
? x = 5
&ther4; Total of their present ages = (x + 10) + (2x + 10)
= (3x + 20)
= 35 years
- 9. Jayesh is as much younger to Anil as he is older to prasant. If the sum of the ages of Anil and prasant is 48 years. What is the age of Jayesh?
Options- A. 20 years
- B. 24 years
- C. 30 years
- D. Cannot be determined Discuss
Correct Answer: 24 years
Explanation:
Let Anil's age = x years
Then, Prashant's age = (48 - x) years
Let the age of Jayesh be P years.
Then, P - (48 - x) = x - P
? 2p = 48
? p = 24
- 10. Three years ago the average age of A and B was 18 years. With C joining them, now the average become 22 years. How old is C now?
Options- A. 24 years
- B. 27 years
- C. 28 years
- D. 30 years Discuss
Correct Answer: 24 years
Explanation:
Sum of age of A and B, 3 years ago = (18 x 2) = 36 years
Sum of ages of A, B and C, now = (22 x 3) = 66 years
Sum of ages of A and B, now = (36 + 6) years = 42 years
? C's present age = (66 - 42) years = 24 years
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