Problems on Ages
- 1. The average weight of 8 persons of a family is increased by 1 kg when one of the members whose weight is 60 kg is replaced by a new person. The weight of the new person (in kg) is
Options- A. 61
- B. 68
- C. 62
- D. None of the above Discuss
Correct Answer: 68
Explanation:
Here , n = 8 , Weight of replaced person = 60 kg and increase in Average = 1 kg
Using formula ,
? Weight of new person = Weight of replaced person + n × increase in Average
Weight of new person = 60 + 8 × 1 = 68 kg
- 2. The average age of three friends A, B, C is 20 years. The average age of A and B is 19 years. What is the age of C?
Options- A. 20 years
- B. 21 years
- C. 22 years
- D. 24 years Discuss
Correct Answer: 22 years
Explanation:
Given that :- The average age of three friends A, B, C = 20 years.
Total age of three friends A, B, C = 3 x 20 = 60 years.
The average age of A and B = 19 years.
Total age of of A and B = 2 x 19 = 38 years.
? Age of C = Total age of three friends A , B and C - Total age of of A and B
Age of C = 60 ? 38 = 22 years
- 3. The sum of the ages of a father and a son presently is 70 years. After 10 years the son's age is exactly half that of the father's. What are their ages now?
Options- A. 45 years, 25 years
- B. 50 years, 20 years
- C. 47 years, 23 years
- D. 50 years, 25 years Also asked in: Bank Exams
Correct Answer: 50 years, 20 years
Explanation:
Suppose the present age of son = P years
The present age of father = Q years
P + Q = 70 ...(i)
According to question, 2(P + 10) = Q + 10
? 2P + 20 = Q + 10
? 2P ? Q = ?10 ....(ii)
From equations (i) and (ii) , we get
3P = 70 ? 10 = 60 ? P = 20 years
? Q = 70 ? 20 = 50 years
- 4. A father tells his son, "I was 3 times of your present age when you were born." If the father's present age is 48 years, how old was the boy 4 years ago?
Options- A. 24 years
- B. 8 years
- C. 12 years
- D. 16 years Discuss
Correct Answer: 8 years
Explanation:
Suppose that son's age before 4 years = P
Present age of the son = P + 4
At son's birth father's age = 3(P + 4) = 3P + 12
The father's present age = (3P +12) + (P + 4) = 48
? 4P = 48 years ? 16 = 32
? P = 8 years
Therefore, 4 years ago the boy was = 12 ? 4 = 8 years
- 5. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of husband is
Options- A. 40 years
- B. 50 years
- C. 45 years
- D. 35 years Discuss
Correct Answer: 40 years
Explanation:
The average age of husband, wife and their child 3 years ago = 27 years
Total age of husband, wife and their child 3 years ago = 27 × 3 = 81 years
The average age of wife and the child 5 years ago = 20 years
Total age of wife and child five years ago was 20× 2 = 40 years
? Total age of wife and child 3 years ago
= 40 + (2 × 2)
= 40 + 4 = 44 years
? Age of husband three years ago = Total age of husband, wife and their child 3 years ago - Total age of wife and child 3 years ago
Age of husband three years ago = 81 ? 44 = 37 years
Therefore, the present age of husband = 37 + 3 = 40 years
- 6. A father is 3 times as old his son. 8 years ago, the father was 5 times as old as his son. What is the present age of the son?
Options- A. 12 years
- B. 14 years
- C. 16 years
- D. 20 years Discuss
Correct Answer: 16 years
Explanation:
- 7. The average age of father and his son is 22 years. The ratio of their ages is 10 : 1 respectively. What is the age of the son?
Options- A. 24
- B. 4
- C. 40
- D. 14 Discuss
Correct Answer: 4
Explanation:
- 8. Govind is 48 years old. He is twice as old as his son Prem is now. How old was Prem 7 years before?
Options- A. 16
- B. 17
- C. 13
- D. 18 Discuss
Correct Answer: 17
Explanation:
- 9. Joan's age is 42 years and Kelvin's age is 26 years. How many years ago was Kelvin's age half of Joan's age?
Options- A. 6 Years
- B. 4 Years
- C. 10 Years
- D. 8 Years Discuss
Correct Answer: 10 Years
Explanation:
- 10. A father said to his son, ''I was as old as you are at the present at the time of your birth''. If the father's age is 52 years now, then the son's age 8 years back was
Options- A. 10 years
- B. 18 years
- C. 12 years
- D. 20 years Discuss
Correct Answer: 18 years
Explanation:
Suppose present age of son = P years
Present age of father = 52 years
According to question,
Father's age at son's birth = son's present age
? 52 ? P = P
P + P = 52 years
? 2P = 52
? P = 26 years
Son's age 8 years back = present age of son - 8 years = 26 ? 8 = 18 years
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