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Problem of Ages Objective questions and answer

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1) The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A. 5 : 2                       B. 7 : 3

C. 9 : 2                       D. 13 : 4

View Answer

Answer: Option B
Explanation:

Let the ages of father and son 10 years ago be 3x and x years.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
==> 3x + 20 = 2x + 40
==> x = 20.
 bindu Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3


 

2) The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A. 8, 20, 28                 B. 16, 28, 36

C. 20, 35, 45                D. None of these

View Answer

Answer: Option B
Explanation:

Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
==> 20x = 80
==> x = 4.
 
binduTheir present ages are 4x=16years, 7x = 28years and 9x =36 years


3) 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?

A. 32 years              B. 36 years

C. 40 years              D. 48 years

View Answer

Answer: Option C
Explanation:

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

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


4) Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A. 2 years                   B. 4 years

C. 6 years                   D. 8 years

View Answer

Answer: Option C
Explanation:
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born=(38 + 4)years=42 years.
 
binduRequired difference = (42 - 36) years = 6 years


5) A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A. 7                       B. 8

C. 9                       D. 10

View Answer

Answer: Option D
Explanation:

Let C's age be x years. Then, B's age = 2x years.

==> A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years.


 
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