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 1 Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age? A. 3 times B. 5 times C. 4 times D. 2 times
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Explanation

Assume that Sunil's present age = x.
Then father's present age = 3x + x = 4x.
After 8 years, father's age = 2½ times of Sunils' age.
=> (4x+8) = 2½(x+8).
=> 4x + 8 = (5/2)(x + 8).
=> 8x + 16 = 5x + 40.
=> 3x = 40 - 16 = 24.
=> x = 24/3 = 8.
After further 8 years,
Sunil's age = x + 8 + 8 = 8 + 8 + 8 = 24.
Father's age = 4x + 8 + 8 = 4 × 8 + 8 + 8 = 48.
Father's age/Sunil's age = 48/24 = 2.

 2 Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages? A. 45 B. 40 C. 35 D. 30
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Explanation

Let the present age of P and Q be 3x and 4x respectively.
Ten years ago, P was half of Q's age
=> (3x – 10) = 12(4x – 10)
=> 6x – 20 = 4x – 10
=> 2x = 10
=> x = 5
Total of their present ages = 3x + 4x = 7x = 7 × 5 = 35.

 3 A man's age is 125% of what it was 10 years ago, but 8313% of what it will be after 10 years. What is his present age? A. 70 B. 60 C. 50 D. 40
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Explanation

Let the age before 10 years = x
Then, 125x/100 = x + 10.

=> 125x= 100x + 1000.

=> x = 1000/25 = 40.

Present age = x + 10 = 40 +10 = 50.

 4 A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son? A. 23 years B. 22 years C. 20 years D. 21 years
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Explanation

Let the present age of the son = x years
Then present age the man = (x+24) years
Given that in 2 years, man's age will be twice the age of his son
=> (x+24) +2 = 2(x+2)
=> x = 22

 5 Present ages of Kiran and Syam are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Syam's present age in years? A. 24 B. 26 C. 27 D. 28
See Answer & Explanation Lets Discuss
Explanation

Ratio of the present age of Kiran and Syam = 5 : 4.
Let the present age of Kiran = 5x .
Present age of Syam = 4x.
After 3 years, ratio of their ages = 11:9.
=> (5x + 3) : (4x + 3) = 11 : 9.
=> 9(5x + 3) = 11(4x + 3).
=> 45x + 27 = 44x + 33.
=> x = 33-27 =6.
Syam's present age = 4x = 4×6 = 24.

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