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Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages

  • 35
  • 34
  • 45
  • 25

Answer: Option A

Explanation:

Let the present age of P and Q be 3x and 4x respectively.
Ten years ago, P was half of Q in age
=> 2(3x – 10) = (4x – 10)

=> 6x – 20 = 4x – 10

=> 2x = 10

=> x = 5

Similar Questions :

1. 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

2. Six years ago, the ratio of the ages of Kunal and Sagar was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Sagar age at present

  • 10 years
  • 12 years
  • 14 years
  • 16 years

Answer: Option D

Explanation:

Let six years ago the age of Kunal and Sagar are 6x and 5x resp.
then,
=>(6x+6)+4(5x+6)+4=1110


<=>10(6x+10)=11(5x+10)

<=>5x=10=>x=2


So Sagar age is (5x+6) = 16

3. 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 this son is

  • 21 years
  • 22 years
  • 23 years
  • 24 years

Answer: Option B

Explanation:

Let's Son age is x, then Father age is x+24.
=> 2(x+2) = (x+24+2)
=> 2x+4 = x+26
=> x = 22 years

4. Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence

  • 18
  • 25
  • 15
  • 20

Answer: Option D

Explanation:

Sachin's age today = 30 years.
Sachin's age 10 years back = 20 years.
Ajay's age 10 years back = 10 years.
Ajay's age today =20 years

5. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present

  • 38
  • 40
  • 42
  • 44

Answer: Option B

Explanation:

Let the mother's present age be x years.
Then, the person's present age = (2/5 x) years.

=> (2/5 x + 8/2) = 1 (x + 8)
=> 2(2x + 40) = 5(x + 8)
=> x = 40

Read more from - Problems on Ages Questions Answers
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