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- Question
- 2 years ago a mother was 4 times as old as her son. 6 years from now her age will become more than double her son's age by 10 years. What is the present ratio of their ages?
Options- A. 2 : 1
- B. 38 : 11
- C. 19 : 7
- D. 3 : 1
- Correct Answer
- 38 : 11
ExplanationSuppose the present age of son = P years
Present age of mother = Q years
According to question,
4 (P ? 2) = Q ? 2
? 4P ? 8 = Q ? 2
? 4P ? Q = 6 ...(i)
2 (P + 6) + 10 = Q + 6
? 2P + 12 + 10 = Q + 6
? 2P ? Q = ?16 ...(ii)
From equations (i) and (ii)
P = 11
? Q = 4 × 11 ? 6 = 38
Required the present ratio of their ages = 38 : 11 - 1. The age of a father is twice that of his son's at present age. After 5 years the sum of their ages will be 85. How old are they now?
Options- A. 40, 20
- B. 46, 23
- C. 60, 30
- D. 50, 25 Discuss
- 2. A father was 12 times as old as his son 20 years back. Now he is twice as old as his son. What are their present ages?
Options- A. Father 44 and son 22
- B. Father 55 and son 33
- C. Father 66 and son 44
- D. None of these Discuss
- 3. Today is Vishal's birthday. One year from today he will be twice as old as he was 12 years ago. How old is Vishal today?
Options- A. 20 years
- B. 22 years
- C. 25 years
- D. 27 years Discuss
- 4. A father is twice his son's present age. How many years ago, was he three times his son's age, if his son's age is now 20 years?
Options- A. 8 years
- B. 10 years
- C. 12 years
- D. 15 years Discuss
- 5. Ram's age was square of a number last year and it will be cube of a number next year. How long must he wait before his age is again the cube of a number?
Options- A. 39 years
- B. 10 years
- C. 38 years
- D. 64 years Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Problems on Ages
Search Results
Correct Answer: 50, 25
Explanation:
Correct Answer: Father 44 and son 22
Explanation:
Suppose the present age of son = P years
The present age of father = 2P years
According to question ,
20 years ago , (2P ? 20) = 12 (P ? 20)
? 2P ? 20 = 12P ? 240
? 12P ? 2P = 240 ? 20
? 10P = 220
? P = 22 years
Age of father = 2P = 2 x 22 = 44 years
Correct Answer: 25 years
Explanation:
Suppose, the present age of Vishal be P years.
According to question,
present age of Vishal + 1 year = 2 ( present age of Vishal - 12 years )
P + 1 = 2(P ? 12)
? 2P ? P = 25
? P = 25 years
Therefore , the present age of Vishal is 25 years .
Correct Answer: 10 years
Explanation:
Given that :- Present age of son = 20 years
According to question ,
father's present age = 2 × Present age of son
His father's present age = 2 x 20 = 40 years
10 years ago , The age of son = 20 ? 10 =10 years
Father's age = 40 ? 10 = 30 years = 10 × 3
Hence , required answer will be 10 years ago .
Correct Answer: 38 years
Explanation:
Let us assume at present Ram's age is 26 years
Last year his age = 26 ? 1 = 25 = (5)2
Next year his age = 26 + 1 = 27 = (3)3
After 27, the next cube number is 64 = (4)3
? Required answer = 64 ? 26 = 38 years
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 .
Correct Answer: 20
Explanation:
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
Correct Answer: 40
Explanation:
Correct Answer: 16
Explanation:
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