Problems on Ages
- 1. If the two digits of the age of Mr. Manoj are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is elder than his wife then find the difference their ages?
Options- A. Cannot be determined
- B. 10 years
- C. 8 years
- D. 9 years Discuss
Correct Answer: 8 years
Explanation:
Let the age of Mr Manoj be (10y + y) yrs.
? His wife's age = (10y + x ) years
Then, ((10x + y + 10y + x) / 11 = 10x + y -10y-x
? x + y = 9x - 9y
? 8x = 10y
? x/y = 5/4
? x = 5 and y =4 (because any other multiple of 5 will make x of two digits).
? Diff. = (10x + y) - (10y - x)
= 9x - 9y
= 9(x-y)
= 9(5-4)
= 9 yrs.
- 2. After five years the age of a father will be thrice the age of his son whereas five years ago, he was seven times as old as his son was. What is father's present age?
Options- A. 35 years
- B. 40 years
- C. 45 years
- D. 50 years Discuss
Correct Answer: 40 years
Explanation:
Let son's age 5 years hence = x years
Then, father's age after 5 years hence = 3x years
? 7(x - 10) = (3x - 10)
? x(7 - 3) = 70 - 80
? x = 15
? Father's present age = (3x - 5) = 40 years
- 3. The age of arvind's father is 4 times of his age. If 5 years ago, father's age was 7 times of the age of his son at that time. What is arvind's father's present age?
Options- A. 35 years
- B. 40 years
- C. 70 years
- D. 84 years Discuss
Correct Answer: 40 years
Explanation:
Let Arvind's present age be x years
Then, his father's present age = 4x years
? (4x - 5) = 7(x - 5)
? 3x = 30
? x = 10
Hence, Arvind's father's age is 40 years.
- 4. The difference between the ages of two persons is 10 years. 15 years ago the elder one was twice as old as the younger one. The present age of the elder person is?
Options- A. 25 years
- B. 35 years
- C. 45 years
- D. 55 years Discuss
Correct Answer: 35 years
Explanation:
Let the present age of the elder person be x years.
Then, the present age of the younger person = (x - 10) years.
? (x - 15) = 2(x - 10 - 15)
? x = 35
? the present age of the elder person is 35 years.
- 5. The sum of the ages of a mother and a daughter is 50 years. Also, 5 years ago, the mother's age was 7 times of the age of her daughter. The present ages of the mother and the daughter respectively are?
Options- A. 35 years, 15 years
- B. 38 years, 12 years
- C. 40 years, 10 years
- D. 42 years, 8 years Discuss
Correct Answer: 40 years, 10 years
Explanation:
Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)
? x = 10
So, the present ages of mother and daughter are 40 years and 10 years respectively.
- 6. Kamla got married 6 years ago. Today her age is 1 1/ 4 times her son's age at the time of marriage. Her son's age is (1/10) times of her age. Her son's age is?
Options- A. 2 years
- B. 3 years
- C. 4 years
- D. 5 years Discuss
Correct Answer: 3 years
Explanation:
Let Kamla's age 6 years ago be x years.
So, Kamla's present age = (x + 6) years
? x + 6 = 5x / 4
? 4x + 24 = 5x
? x = 24
So, Kamla's Present age = (x + 6) years = 30 years
? Son's present age = 30/10 = 3 years
- 7. The ratio of Mona's age to the age of her mother is 5 : 15. The difference of their ages is 24 years. The ratio of their ages After 3 years will be?
Options- A. 1 : 3
- B. 2 : 3
- C. 3 : 7
- D. None of these Discuss
Correct Answer: 3 : 7
Explanation:
Let the age of Mona and her mother be 5x and 13x years respectively.
Then, (13x - 5x) = 24
? x = 3
So, their present ages are 15 years and 39 years
Ratio of their ages after 3 years = 18 : 42 = 3 : 7
- 8. Shyam is 3 times as old as his son. After 10 years the sum of their ages will be 76 years. the respective ages of the father and the son are .... and .... years.?
Options- A. 42, 14
- B. 39, 13
- C. 45, 15
- D. None of these Discuss
Correct Answer: 42, 14
Explanation:
Let son's age present age be x years .
? Father's present age = 3x years
Son's age 10 years hence = ( x + 10) years
Father's age 10 years hence = (3x + 10)
As per the condition ,
? ( x + 10) + (3x + 10) = 76
? 4x = 56
? x = 14
? Son's present age = 14 years
Father's present age = 42 years
- 9. If 6 years are subtracted from the present age of Randheer and the remainder is divided by 18 than the present age of his grandson Anup is obtained. If Anup is 2 years younger to mahesh whose age 5 years, then what's the age of Randheer?
Options- A. 96 years
- B. 84 years
- C. 48 years
- D. 60 years Discuss
Correct Answer: 60 years
Explanation:
? Anup's age = (5 - 2) years = 3 years
Let Randheer's age be x years.
Then, (x - 6)/18 = 3
? x = 54 + 6 = 60
- 10. The sum of the ages of the father and son is 45 years. Five years ago, the product of their ages was four times of the father's age at that time, then the present ages of the father and son respectively are .... and .... years.?
Options- A. 39, 6
- B. 35, 10
- C. 36, 9
- D. 40, 10 Discuss
Correct Answer: 36, 9
Explanation:
Let son's present age be x years and father's age = (45 - x) years.
? (x - 5) (45 - x - 5) = 4 ( 45 - x - 5)
? (40 - x) (x - 9) = 0
? x = 9years
? The son's age = 9 years
Father's age = 45 - 9 = 36 years
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