Problems on Ages
- 1. Present age of Rahul is 5 years less than Ritu's present age. If 3 years ago Ritu's age was x years, which of the following represents Rahul's present age in years?
Options- A. x - 2
- B. x + 3
- C. x + 5
- D. x + 11 Discuss
Correct Answer: x - 2
Explanation:
3 Years age Ritu's age was x years, then
Ritu's present age = x + 3 years
According to question,
Present age of Rahul is 5 years less than Ritu's present age
Hence, present age of Rahul = x + 3 - 5 = x - 2 years
- 2. The present age of Sanyal is 3 times the present age of his son. Six years hence, the ratio of their ages will be 5 : 2 respectively. The present age of Sanyal is:
Options- A. 48 years
- B. 50 years
- C. 54 years
- D. 60 years Discuss
Correct Answer: 54 years
Explanation:
Let us assume the present age of son be x then his father present age will be 3x.
According to question,
Six years hence, the ratio of their ages will be 5 : 2 respectively
(3x + 6)/(x+6) = 5/2
? (3x + 6)2 = 5(x+6)
? 6x + 12 = 5x + 30
? x = 18
Hence, age of Sanyal = 3 x 18 = 54 years
- 3. The ratio of ages of Namrata and Divya is 4 : 3. The sum of their ages is 28 years. The ratio of their ages after 4 years will be:
Options- A. 3 : 4
- B. 5 : 4
- C. 5 : 6
- D. 6 : 5 Discuss
Correct Answer: 5 : 4
Explanation:
Let the present ages of Namrata and Divya are 4x and 3x years respectively; then
According to question,
4x + 3x = 28
? x = 4
Hence, their present ages are 16 and 12 years.
So required ratio = (16 +4) : (12 + 4) = 20 : 16 = 5 :4
- 4. At present, the ratio between the ages of Gopal and Madhawa is 4 : 3. After 6 years, Gopal's age will be 26 years. The present age of Madhwa is:
Options- A. 21 years
- B. 191/2 years
- C. 15 years
- D. 12 yeras Discuss
Correct Answer: 15 years
Explanation:
Let the present age of Gopal and Madhawa are 4x and 3x years respectively; then
According to question,
4x + 6 = 26
? 4x = 20
? x = 5
Hence, present age of Madhawa = 3x = 3 x 5 = 15 years
- 5. The sum of the ages of Ram, Shyam and Mohan is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. The present age of Mohan is:
Options- A. 38 years
- B. 34 years
- C. 32 years
- D. 24 years Discuss
Correct Answer: 38 years
Explanation:
Let us assume 10 years ago, ages of Ram, Shyam and Mohan were 2x, 3x and 4x years respectively.
Present ages of Ram, Shyam and Mohan will be 2x + 10 , 3x + 10 and 4x + 10 years.
According to question,
2x + 10 + 3x + 10 + 4x + 10 = 93
? 9x + 30 = 93
? 9x = 93 - 30
? 9x = 63
? x = 7
The present age of mohan = 4x + 10 = 4x7 + 10 = 38 years
- 6. The age of Shyam is 1/3 rd that of his mother. He is 2 years older than his sister. The age of his sister be 8 years, what is the age of his mother?
Options- A. 25 years
- B. 60 years
- C. 48 years
- D. 30 years Discuss
Correct Answer: 30 years
Explanation:
- 7. Ramu is 48 years old. Robin is 6 years junior to Ramu and 14 years senior to Rohit. Ramu has two children ? Neethu and Vinu. Youngest sister of Rohit is Krishna and she is 15 years junior to him. So what is the age of Krishna?
Options- A. 13
- B. 15
- C. 14
- D. 12 Discuss
Correct Answer: 13
Explanation:
According to question ,
Given :- Age of Ramu = 48 years
Age of Robin = Age of Ramu - 6 years = 48 ? 6 = 42 years
Age of Rohit = Age of Robin - 14 years = 42 ? 14 = 28 years
Age of Krishna = Age of Rohit - 15 years = 28?15 =13 years
Hence , Age of Krishna is 13 years .
- 8. The average age of 30 students is 15 years. If the teacher's age is also included then the average age increases by 1 year. The age of the teacher is
Options- A. 56 years
- B. 46 years
- C. 35 years
- D. 45 years Discuss
Correct Answer: 46 years
Explanation:
According to question ,
The average age of 30 students = 15 years
Total age of 30 students = 30 × 15 = 450 years
Total age of 30 students and teacher = ( 15 + 1 ) × 31 = 496 years
? Age of teacher = Total age of 30 students and teacher - Total age of 30 students
Age of teacher = ( 496 ? 450 ) = 46 years
- 9. A was born 5 years before B, B is 4 years older than C and 3 years younger to D. If A is now 17 years old, how old is D?
Options- A. 19 years
- B. 15 years
- C. 12 years
- D. 8 years Discuss
Correct Answer: 15 years
Explanation:
Here , Present age of A = 17 years
Age of B = age of A - 5 years = 17 ? 5 = 12 years
Age of C = age of B ? 4 years =12 ? 4 = 8 years
Age of D = Age of B + 3 years =12 + 3 = 15 years
- 10. Ashok's mother was 3 times as old as Ashok 5 years ago. After 5 years she will be twice as old as Ashok. How old is Ashok today?
Options- A. 10 years
- B. 15 years
- C. 20 years
- D. 25 years Discuss
Correct Answer: 15 years
Explanation:
Suppose the present age of Ashok is P years and that of his mother is Q years.
5 years ago ,
3 × ( age of Ashok - 5 ) = ( age of Ashok 's mother - 5 )
3 ( P ? 5 ) = ( Q ? 5 )
? 3P ? 15 = Q ? 5
? 3P ? Q = 10 ....(i)
5 years after,
2 × ( age of Ashok + 5 ) = ( age of Ashok 's mother + 5 )
2 ( P + 5 ) = ( Q + 5 )
? 2P + 10 = Q + 5
? 2P ? Q = ? 5 ....(ii)
From equations (i) and (ii) , we get
P = 15 years
Hence , the present age of Ashok is 15 years .
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