Problems on Ages
- 1. Mother was three times the age of her daughter 5 years ago. After 5 years, mother will be twice as old as her daughter. How old is the daughter today?
Options- A. 5 years
- B. 10 years
- C. 15 years
- D. 20 years Discuss
Correct Answer: 15 years
Explanation:
Suppose the present age of daughter = P years
and, the present age of mother = Q years
According to questions,
5 years ago , 3 × ( the present age of daughter - 5 ) = ( the present age of mother - 5 )
3 (P ? 5) = (Q ? 5)
? 3P ? 15 = Q ? 5
? 3P ? Q = 10 .......(i)
After five years , 2 × ( the present age of daughter + 5 ) = ( the present age of mother + 5 )
2 (P + 5) = Q + 5
? 2P + 10 = Q + 5
? 2P ? Q = ?5 .......(ii)
From equations (i) and (ii) , we get
3P ? 2P = 10 ? (?5)
? P = 15 years
Hence, the present age of daughter is 15 years .
- 2. Neela is now 3 times as old as her daughter Leela. Ten years back, Neela was 5 times as old as Leela. The age of Leela is
Options- A. 15
- B. 25
- C. 30
- D. 20 Discuss
Correct Answer: 20
Explanation:
- 3. Amit was born 5 years before Rakesh, Rakesh is 3 years younger to Anil. If Amit is now 17 years old, how old is Anil?
Options- A. 8 years
- B. 12 years
- C. 15 years
- D. 19 years Discuss
Correct Answer: 15 years
Explanation:
The present age of Amit = 17 years
5 years before , age of Rakesh = The present age of Amit - 5 years = 17 ? 5 = 12 years
? Age of Anil = age of Rakesh + 3 years = 12 + 3 = 15 years
- 4. The age of Ram is double as that of Shyam and half as that of Suresh. If the sum of their ages is 70, what is the age of Ram?
Options- A. 20
- B. 30
- C. 40
- D. 10 Discuss
Correct Answer: 40
Explanation:
- 5. X is four years older than Y who is twice as old as Z. If the total ages of X, Y and Z be 34, how old is X?
Options- A. 8
- B. 10
- C. 12
- D. 16 Discuss
Correct Answer: 16
Explanation:
- 6. Mani is double the age of Prabhu, Ramona is half the age of Prabhu. If Mani is sixty, find out the age of Ramona.
Options- A. 20
- B. 15
- C. 10
- D. 24 Discuss
Correct Answer: 15
Explanation:
- 7. The sum of ages of mother, daughter and son is 87 years. What will be the sum of their ages after 8 years?
Options- A. 101
- B. 110
- C. 111
- D. 105 Discuss
Correct Answer: 111
Explanation:
Sum of ages of mother, daughter and son (i.e., 3 persons) = 87 years.
After 8 years , Sum of their ages = Sum of ages of mother, daughter and son + ( 8 x 3 ) = 87 + (8 × 3) = 87 + 24 = 111 years
- 8. A was twice as old as B, two years ago. If the difference in their ages be 2 years, find A's age.
Options- A. 6
- B. 8
- C. 10
- D. 4 Discuss
Correct Answer: 6
Explanation:
Suppose the present age of B = P years
The present age of A - The present age of B = 2 years.
Therefore, the present age of A = P + 2 years
According to question,
Two years ago , 2( the present age of B - 2 years ) = the present age of A - 2 years
2 (P ? 2) = P + 2 ? 2
? 2P ? 4 = P
? 2P ? P = 4
? P = 4
Age of B = 4 years
Age of A = P + 2 = 4 + 2 = 6 years
- 9. 12 year old Sami is three times as old as his brother Vinay. How old will Sami be when he is twice as old as Vinay?
Options- A. 18 years
- B. 14 years
- C. 20 years
- D. 16 years Discuss
Correct Answer: 16 years
Explanation:
- 10. Anil is as much younger to Vivek as he is older to Tarun. If the total of the ages of Vivek and Tarun is 48 years, how old is Anil?
Options- A. 26
- B. 33
- C. 24
- D. 18 Discuss
Correct Answer: 24
Explanation:
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