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# AGES SET-5

1. 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
A) 35
B) 34
C) 45
D) 25
Ans. A
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

2. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A
A) 11
B) 12
C) 13
D) 14
Ans. B
Given that A+B = 12 + B + C
=> A ? C = 12 + B ? B = 12
=> C is younger than A by 12 years

3. 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
A) 15
B) 20
C) 25
D) 30
Ans. D
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

4. The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
A) 20,20
B) 20,10
C) 25,15
D) 30,10
Ans. D
Let their ages be x and (x + 20) years.

5 (x – 5) = (x + 20 – 5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years
5. Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age.
A) 14
B) 15
C) 20
D) 22
Ans. B
Present age is 4x and 3x,
=> 4x + 6 = 26 => x = 5

So Deepak age is = 3(5) = 15