Problems on Ages
- 1. A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. The difference in age between the man and his wife is
Options- A. 7 years
- B. 3 years
- C. 5 years
- D. 4 years Discuss
Correct Answer: 4 years
Explanation:
According to question ,
Age of his wife = 35 years
Age of his son = 7 years and Age of man = 32 years
At the birth of son, The age of mother = Age of his wife - Age of his son = 35 ? 7 = 28 years
Difference in age = Age of man - age of mother = 32 ? 28 = 4 years
- 2. Hema was twice as old as Geetha 10 years ago. How old is Geetha today if Hema will be 40 years old 10 years hence?
Options- A. 25 years
- B. 20 years
- C. 15 years
- D. 35 years Discuss
Correct Answer: 20 years
Explanation:
- 3. Naresh's age is 4 years less than twice the age of his brother. Which of the following represents the equation to find his age?
Options- A. 2P + 4
- B. 4P + 2
- C. P ? 4
- D. 2P ? 4 Discuss
Correct Answer: 2P ? 4
Explanation:
Suppose the age of Naresh's brother = P years
According to question ,
? Age of Naresh = 2 × age of Naresh's brother ? 4
Therefore , Age of Naresh = 2P ? 4
- 4. My father is 21 years older than me. In 12 years time, his age will be twice mine. How old am I now?
Options- A. 9 years
- B. 8 years
- C. 10 years
- D. 11 years Discuss
Correct Answer: 9 years
Explanation:
Suppose my age = P years
My father's age = my age + 21 years = P + 21 years
Again After 12 years ,
2 ( my age + 12 ) = My father's age + 12
? 2 (P + 12) = (P + 21) + 12
? 2P + 24 = P + 33
? P = 33 ? 24 = 9 years
Hence , I am 9 years old now .
- 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
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
- 6. 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
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 .
- 7. 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
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 .
- 8. 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
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
- 9. 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
Correct Answer: 50, 25
Explanation:
- 10. 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 Discuss
Correct Answer: 38 : 11
Explanation:
Suppose 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
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