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- Question
- A father's age is four times as much as the sum of the ages of his three children but 6 years hence his age will be only double the sum of their ages. Then the age of the father is?
Options- A. 30 years
- B. 40 years
- C. 60 years
- D. 45 years
- Correct Answer
- 60 years
ExplanationLet father's age be x years and the sum of ages of children be y years.
? x = 4 y ....(i)
Also (x + 6) = 2(y + 6 + 6 + 6) ....(ii) [6 is added thrice for three children ]
Solving (i) and (ii)
x = 60 years, and y = 15 years. - 1. The total ages of A, B and C at present is 90 years. Ten years ago the ratio of their ages was 1 : 2 : 3. Then the present age of B is ....?
Options- A. 30 years
- B. 20 years
- C. 40 years
- D. None of these Discuss
- 2. The ratio of the father's and son's age is 7 : 4. the product of their ages is 1008. The ratio of their ages after 6 years later will be?
Options- A. 5 : 3
- B. 8 : 5
- C. 7 : 4
- D. 5 : 8 Discuss
- 3. Ratio of Surjeet's age to Sameer's age is 4 : 3 Sujeet will be 26 years old after 6 years. Then the present age of sameer is?
Options- A. 21 years
- B. 15 years
- C. 24 years
- D. 18 years Discuss
- 4. The ages of A, B and C together total 185 years. B is twice as old as A, and C is 17 years older than A. Then the respective ages of A, B and C are?
Options- A. 40, 86 and 59 years
- B. 42, 84 and 59 years
- C. 40, 80 and 65 years
- D. None of these Discuss
- 5. The ratio of Laxmi's age of the age of her mother is 3 : 11. the difference of their ages is 24 years. The ratio of their ages after 3 yeras will be?
Options- A. 1 : 3
- B. 2 : 3
- C. 3 :5
- D. None of these Discuss
- 6. In ten years, A will be twice as old as B was 10 years ago. If A is now 9 years older then B. Find the present age of B?
Options- A. 39 year
- B. 40 year
- C. 36 year
- D. 49 year Discuss
- 7. Present age of Rahul is 8 years less then Ritu's present age. If three years ago Ritu's age was x, which of the following represents Rahul's present age?
Options- A. x + 3
- B. x - 5
- C. x - 3 + 8
- D. x + 3 + 8 Discuss
- 8. The ratio in the present ages of Ramesh and Jayesh is 3 : 2. four years ago Ramesh's age was more then Jayesh's age by 6 years. What is the present age of Jayesh?
Options- A. 18 years
- B. 12 years
- C. 6 years
- D. Data is inadequate Discuss
- 9. The age of the father 4 years ago was 5 times the age of his son. If the sum of their present ages is 44 years. What is the present age of his son?
Options- A. 6 years
- B. 10 years
- C. 4 years
- D. 8 years Discuss
- 10. The ratio in the ages of A and B, 1 year ago was 3 : 4. While it will be 5 : 6 after 1 year. What is the present age of B?
Options- A. 8 years
- B. 4 years
- C. 6 years
- D. None of these Discuss
Problems on Ages
Search Results
Correct Answer: 30 years
Explanation:
Let the respective ages of A, B and C, ten years ago be x, 2x and 3x years.
? (x + 10) + (2x + 10) + ( 3x + 10) = 90
? 6x = 60
? x = 10
? B's present age = 2x + 10 = 30 years
Correct Answer: 8 : 5
Explanation:
Let father's and son's age be 7x and 4x respectively
? 28 x2 = 1008
? x2 = 36
? x = 6
? Father's age = 7x = 42 years
Son's age = 4x = 24 years
Father's age after 6 years later = 48 years
Son's age 6 years hence = 30 years
Required ratio = 48 : 30 = 8 : 5
Correct Answer: 15 years
Explanation:
Let the respectively ages of Sujeet and Sameer be 4N and 3N years.
? 4N + 6 = 26
? N = 5
? Sameer's present age = 3 x N = 3 x 5 = 15 years.
Correct Answer: 42, 84 and 59 years
Explanation:
Let A's age be x years, B's age be 2x years and C's age = (x + 17) years
According to the question,
? x + 2x + (x + 17) = 185
? 4x = 185 - 17 = 168
? x = 42
? A's age = 42 years
B's age 84 years
C's age = 42 + 17 = 59 years
Correct Answer: 1 : 3
Explanation:
Let the ages of Laxmi and her mother be 11x and 3x respectively.
From question, 11x - 3x = 24
? x = 3
? Ratio of their ages after 3 years = ( 3x + 3) : (11x + 3 )
= 12: 36 = 1 : 3
Correct Answer: 39 year
Explanation:
Let B's present age be x years then A's present age be (x + 9) years
As per the given condition
(x + 9 + 10) = 2(x - 10)
? x = 39
? The present age of B = 39 years
Correct Answer: x - 5
Explanation:
Let the Rahul's present age is 'A' years. Then Ritu's present age is (A + 8)
Now, according to the question,
(A + 8) - 3 = x
? A = (x - 5) years
Correct Answer: 12 years
Explanation:
Let the present age of Ramesh be 3x years and the present age of jayesh = 2x years.
According to question, (3x - 4) = (2x - 4) + 6
? 3x - 4 = 2x - 4 + 6
? 3x - 4 = 2x + 2
? 3x - 2x = 2 + 4
? x = 6
? Present age of Jayesh = 2x = 12 years
Correct Answer: 10 years
Explanation:
Let the present age of father and son be x and y years respectively.
From 1st condition,
(x - 4) = 5(y- 4)
? x - 4 = 5y - 20
? x - 5y = -16 .....(i)
From 2nd condition,
? x + y = 44 ...(ii)
From equation (i) and (ii)
-6y = -60
? y = 10
? Present age of son = 10 years
Correct Answer: None of these
Explanation:
Let the present age of A and B be x and y years respectively
From 1st condition
(x - 1) / (y -1) = 3/4
? 4x - 4 = 3y - 3
? 4x - 3y = 1 ... (i)
From 2nd condition,
(x + 1) / (y + 1) = 5/6
? 6x + 6 = 5y + 5
? 6x - 5y = -1 ...(ii)
Multiplying equation (i) by 3 and equation (ii) by 2 and subtract
y = 5
? Present age of B = 5 years
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