Problems on Ages
- 1. One year ago the ratio between Samir and Ashok's age was 4 : 3. One years Later the sum of their ages will be 5 : 4. What is the sum of their present ages in years?
Options- A. 12 years
- B. 15 years
- C. 16 years
- D. Cannot be determined Discuss
Correct Answer: 16 years
Explanation:
Let their ages one years ago be 4x and 3x years.
? (4x + 2)/(3x + 2) = 5 / 4
? 4(4x + 2) = 5(3x + 2)
? x = 2
? Sum of their present ages = (4x + 1) + (3x + 1) = 16 years
- 2. The ages of A and B are in the ratio 2 : 5. After 8 years their ages will be in the ratio 1 : 2. The difference of their ages is?
Options- A. 20 years
- B. 24 years
- C. 26 years
- D. 29 years Discuss
Correct Answer: 24 years
Explanation:
Let the current ages of A and B be 2x and 5x respectively
Now from question (2x + 8) / (5x + 8) = 1 / 2
? 2(2x + 8) = (5x + 8)
? x = 8
? Difference of their ages = (5x - 2x) = 3x = 24 years
- 3. The ratio between the ages of A and B at present is 2 : 3. Five years hence the ratio of their ages will be 3 : 4. What is the present of A?
Options- A. 10 years
- B. 15 years
- C. 25 years
- D. Data inadequate Discuss
Correct Answer: 10 years
Explanation:
Let the ages of A and B be 2x and 3x years respectively.
From question, (2x + 5) / (3x + 5) = 3 / 4
? 4(2x + 5) = 3(3x + 5)
? x = 5
&ther4; A's present age = 2x = 10 years
- 4. The ratio of the ages of father and son at present is 6 : 1. After 5 years ratio will become 7 : 2. The present age of the son is?
Options- A. 5 years
- B. 6 years
- C. 9 years
- D. 10 years Discuss
Correct Answer: 5 years
Explanation:
Let the ages of father and son be 6x and x respectively.
From question, (6x + 5) / (x + 5) = 7 / 2
? 2(6x + 5) = 7(x + 5)
? (12 - 7) x = 35 - 10
? x = 5
? Son's present age = 5 years
- 5. One years ago a father was four times as old as his son. After 6 years his age exceeds than twice of his son's age by 9 years. Ratio of their present ages is?
Options- A. 13 : 4
- B. 12 : 5
- C. 11 : 3
- D. 9 : 2 Discuss
Correct Answer: 11 : 3
Explanation:
Let son's age 1 year ago be x years.
? Father's age 1 year ago = 4x years
? 4x + 7 = 2(x + 7) + 9
? 2x = 23 - 7
? x = 8
Ratio of father's and son's present ages = (4x + 1) : (x + 1) = 33 : 9 = 11 : 3
- 6. The age of a father 10 years ago was thrice the age his son. Ten years later, the father's age will be twice that of his son. The ratio of their present ages is?
Options- A. 8 : 5
- B. 7 : 3
- C. 5 : 2
- D. 9 : 5 Discuss
Correct Answer: 7 : 3
Explanation:
Let son's age 10 years ago be x years.
? father's age 10 years ago = 3x years
? 3x + 20 = 2(x + 20)
? x = 20
? Ratio of their present ages = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3
- 7. The ratio of Laxmi's age of the age of her mother is 3 : 11. the difference of their ages is 24 years. The ratio of their ages after 3 yeras will be?
Options- A. 1 : 3
- B. 2 : 3
- C. 3 :5
- D. None of these Discuss
Correct Answer: 1 : 3
Explanation:
Let the ages of Laxmi and her mother be 11x and 3x respectively.
From question, 11x - 3x = 24
? x = 3
? Ratio of their ages after 3 years = ( 3x + 3) : (11x + 3 )
= 12: 36 = 1 : 3
- 8. The ages of A, B and C together total 185 years. B is twice as old as A, and C is 17 years older than A. Then the respective ages of A, B and C are?
Options- A. 40, 86 and 59 years
- B. 42, 84 and 59 years
- C. 40, 80 and 65 years
- D. None of these Discuss
Correct Answer: 42, 84 and 59 years
Explanation:
Let A's age be x years, B's age be 2x years and C's age = (x + 17) years
According to the question,
? x + 2x + (x + 17) = 185
? 4x = 185 - 17 = 168
? x = 42
? A's age = 42 years
B's age 84 years
C's age = 42 + 17 = 59 years
- 9. Ratio of Surjeet's age to Sameer's age is 4 : 3 Sujeet will be 26 years old after 6 years. Then the present age of sameer is?
Options- A. 21 years
- B. 15 years
- C. 24 years
- D. 18 years Discuss
Correct Answer: 15 years
Explanation:
Let the respectively ages of Sujeet and Sameer be 4N and 3N years.
? 4N + 6 = 26
? N = 5
? Sameer's present age = 3 x N = 3 x 5 = 15 years.
- 10. The ratio of the father's and son's age is 7 : 4. the product of their ages is 1008. The ratio of their ages after 6 years later will be?
Options- A. 5 : 3
- B. 8 : 5
- C. 7 : 4
- D. 5 : 8 Discuss
Correct Answer: 8 : 5
Explanation:
Let father's and son's age be 7x and 4x respectively
? 28 x2 = 1008
? x2 = 36
? x = 6
? Father's age = 7x = 42 years
Son's age = 4x = 24 years
Father's age after 6 years later = 48 years
Son's age 6 years hence = 30 years
Required ratio = 48 : 30 = 8 : 5
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