Problems on Ages Questions

Q:

Rakesh’s present age is 36 years. If 12 years ago, Deepak’s age was one-fourth of Rakesh’s age, then after 27 years what will be the age (in years) of Deepak?

A) 47 B) 52
C) 45 D) 46
 
Answer & Explanation Answer: C) 45

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Q:

The average age of a class of 39 students is 15 years. If the age of the teacher is included, then the average increases by 3 months. Find the age of the teacher.

A) 30 B) 25
C) 35 D) 40
 
Answer & Explanation Answer: B) 25

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Q:

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?

A) 6 B) 9
C) 12 D) 15
 
Answer & Explanation Answer: B) 9

Explanation:

Let the present ages of A & B to be ‘a’ & ‘b’ respectively.
Hence, 2 years ago, their ages must have been (a-2) & (b-2) respectively.
Average of their ages at that time = 26
Hence,
[(a-2)+(b-2)]/2 = 26
(a-2)+(b-2) = 52
a+b = 56
Age of A, 5 year hence = 40 years
Hence, (a+5) = 40
a = 35 years
Hence, b = 56 - 35 = 21 years
B = (C-5)
Hence, C = 21+5 = 26 years
Age difference between A & C = 35 - 26 = 9 years.

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Q:

A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. The difference between the age of the father and the mother is _____

A) 7 years B) 3 years
C) 5 years D) 4 years
 
Answer & Explanation Answer: D) 4 years

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Q:

The average age of A and B is 18 years. After 3 years, C joins them and the average ages of A, B and C becomes 22 years. The age of C is ?

A) 20 years B) 21 years
C) 24 years D) 23 years
 
Answer & Explanation Answer: C) 24 years

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Q:

The sum of the ages of father and son at present is 33. Two years ago the product of their ages was 28. What is the age of the father and the son?

A) 26, 7 B) 30, 3
C) 29, 4 D) 32, 1
 
Answer & Explanation Answer: B) 30, 3

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Q:

15 years ago Cynthia was thrice as old as Brittany. The sum of their present ages is 94 years. How old is Brittany now?

A) 33 years B) 32 years
C) 30 years D) 31 years
 
Answer & Explanation Answer: D) 31 years

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Q:

The ratio of present ages of P and Q is 5 : 8. Three years later their ages will be in ratio 8 : 11. What is the present age (in years) of Q?

A) 5 B) 11
C) 14 D) 8
 
Answer & Explanation Answer: D) 8

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