Problems on Ages
- 1. Deepak is 4 times as old as his son. four years hence the sum of their ages will be 43 years. How old is deepak's son now?
Options- A. 5 years
- B. 7 years
- C. 8 years
- D. 10 years Discuss
Correct Answer: 7 years
Explanation:
Let the son's present age be x years
Then, (x + 4 ) + (4x + 4) = 43
? 5x = 35
? x = 7 years
- 2. A is 20 years older than B. He is also 6 times as old as B.Then the respective age of A and B are ..... and .... years.?
Options- A. 24, 4
- B. 42, 7
- C. 30, 5
- D. None of these Discuss
Correct Answer: 24, 4
Explanation:
Let the age of B be N years
According to the question
? N + 20 = 6N
? N = 4 years
? A's age = 4 x 6 = 24 years and B's age = 4 years
- 3. The respective ages of father and his son are 41 and 16 years. In how many years will the father be twice as old as his son?
Options- A. 19 years
- B. 9 years
- C. 10 years
- D. 15 years Discuss
Correct Answer: 9 years
Explanation:
Suppose x years later the father will be twice as old as his son.
? x + 41 = 2 (x + 16)
? x = 41 - 32 = 9 years
- 4. A is 3 years younger to B, C is two years older then A. Then B's relation to C is?
Options- A. Two years older
- B. One year younger
- C. One year older
- D. Two years younger Discuss
Correct Answer: One year older
Explanation:
Let the age of A be (x - 3) years
? B's age = x years
? C's age = (x - 3) + 2 = x - 1
? B's age - C's age = x - (x - 1) = 1 year
? B is one year older then C.
- 5. A is twice as old as B was two years ago. If the difference in their ages be 2 years, find A's age?
Options- A. 14 years
- B. 18 years
- C. 8 years
- D. 12 years Discuss
Correct Answer: 8 years
Explanation:
Let B;s age 2 years ago be N years
? A's present age = 2N years
From question, 2N - (N + 2) = 2
? N = 4
? A's age = 2 x 4 = 8 years
- 6. 20 years ago my age was 1/3 of what it is now. What is my present age?
Options- A. 30 years
- B. 25 years
- C. 35 years
- D. 40 years Discuss
Correct Answer: 30 years
Explanation:
Let my present age be x years.
? x - 20 = x / 3
? 3x - 60 = x
? 2x = 60
? My present age = x = 30 years
- 7. A 280 m long train crosses a platform which is three times of its length, in 6 min 40 s. What is the speed of the train?
Options- A. 3.2 m/s
- B. 1.4 m/s
- C. 2.8 m/s
- D. Cannot Determined Discuss
Correct Answer: 2.8 m/s
Explanation:
Length of the train = 280 m
Length of the platform = 280 x 3 = 840 m
Taken time = 6 min 40 s = (360 + 40) s = 400 s
? Required speed = Distance / Time = (840 + 280)/400
= 1120/400 = 2.8 m/s
- 8. The present ages of Reena and Usha are 24 and 36 yr. respectively . What was the ratio between the ages of Usha and Reena respectively 8 yr ago?
Options- A. 7 : 4
- B. 4 : 7
- C. 11 : 8
- D. 8 : 11 Discuss
Correct Answer: 7 : 4
Explanation:
Required ratio = (36 - 8)/(24 - 8) = 28/16 = 7 : 4
- 9. The average age of 8 children of a family is 12 yr. If the age of 7 children are 12, 8, 14, 11, 9, 13 and 15 yr. then the age of 8th child will be?
Options- A. 12 yr
- B. 14 yr
- C. 13 yr
- D. 15 yr Discuss
Correct Answer: 14 yr
Explanation:
? Total age of 8 children = 8 x 12 = 96 yr
And total age of 7 children = 12 + 8 + 14 + 11 + 9 + 13 + 15 = 82
? The age of 8th child = 96 - 82 = 14 yr
- 10. The ratio between the present ages of A and B is 4 : 5. If the ratio between their ages 4 yr hence become 14 : 17, Then what is B's age at present?
Options- A. 30 yr
- B. 28 yr
- C. 34 yr
- D. Data inadequate Discuss
Correct Answer: 30 yr
Explanation:
Let the ages of A and B are 4N and 5N yr. respectively.
According to the question,
? (4N + 4)/(5N + 4) = 14/17
? 68N + 68 = 70N + 56
? 2N = 12
? N = 6
Hence present age of B = 5 x 6 = 30 yr
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