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Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age

  • 12,28
  • 14,30
  • 16,32
  • 18,34

Answer: Option B

Explanation:

Let the age of younger person is x,
Then elder person age is (x+16)
=> 3(x-6) = (x+16-6) [6 years before]
=> 3x-18 = x+10
=> x = 14.
So other person age is x + 16 = 30

Similar Questions :

1. Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of A, B, C and D is

  • 90
  • 98
  • 120
  • Data is not adequate

Answer: Option D

2. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is

  • 20 years
  • 21 years
  • 22 years
  • 24 years

Answer: Option C

Explanation:

Let the son's present age be x years. Then, man's present age = (x + 24) years
=> (x + 24) + 2 = 2(x + 2)
=> x + 26 = 2x + 4
So, x = 22

3. In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is

  • 35
  • 37
  • 39
  • 41

Answer: Option C

Explanation:

Let B's age = x years.
Then, As age = (x+ 9) years.
(x+9+10)=2(x—10)
hence x=39.
Present age of B = 39 years

4. The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person

  • 15
  • 20
  • 25
  • 30

Answer: Option D

Explanation:

Let's take the present age of the elder person = x
and the present age of the younger person = x – 16
(x – 6) = 3 (x-16-6)
=> x – 6 = 3x – 66
=> 2x = 60
=> x = 60/2 = 30

5. Which of following statements are required to answer the Actual age of Abhinav ?
1. Five years ago, Abhinav's age was double that of his son's age at that time.
2. Present ages of Abhinav and his son are in the ratio of 11 : 6 respectively.
3. Five years hence, the respective ratio of Abhinav age and his son's age will become 12 : 7.

  • 1 and 3
  • 2 and 3
  • Any two of three
  • None of three

Answer: Option C

Explanation:

From 2nd we get, Present ages of Abhinav and his son is 11x and 6x,

From 1st we get, Abhinav's present age = 2 * Son's age

From 3rd we get, 5 years hence, Abhinav age / Son's age = 12 / 7

From clearly we can get Abhinav age from any of two equations.

Read more from - Problems on Ages Questions Answers
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