This Article consist of most important ” Problems on Ages ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.
Problems on Ages
Question : 1 The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son ?
A. 34,11
B. 35,10
C. 36,9
D. 40,5
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Correct Answer : B
Explanation :
Let sons age = x years. Then fathers age = (45 – x)years.
(x-5)(45-x-5) = 4(45- x – 5) hence (x-5) = 4 so x = 9
Their ages are 36 years and 9 years
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Question : 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:
A. 14 years
B. 18 years
C. 20 years
D. 22 years
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Correct Answer : D
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
x = 22
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Question : 3 Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?
A. 24
B. 27
C. 40
D. none of these
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Correct Answer : A
Explanation :
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, (5x + 3)/(4x+3) = 11/9
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x – 44x = 33 – 27
x = 6.
Anand’s present age = 4x = 24 years
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Question : 4 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
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Correct Answer : 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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Question : 5 A father said to his son, “I was as old as you are at the present at the time of your birth”. If the father’s age is 38 years now, the son’s age five years back was:
A. 14 years
B. 19 years
C. 33 years
D. 38 years
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Correct Answer : A
Explanation : Let the son’s present age be x years. Then, (38 – x) = x
2x = 38.
x = 19.
Son’s age 5 years back (19 – 5) = 14 years
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