Problems on Ages Questions

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:

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:

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:

In a committee there are 15 members. If two members whose ages are 45 years and 55 years are replaced by the two new members, then average age of 15 members is increased by 2 years. What is the average age (in years) of the new members?

A) 59 B) 61
C) 65 D) 68
 
Answer & Explanation Answer: C) 65

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Q:

Roshan's current age is three years less than 1.5 times that of Usha's. 12 years ago Usha's age was three years more than half of Roshan's age. What is Roshan's present age in

A) 42 B) 39
C) 33 D) 30
 
Answer & Explanation Answer: A) 42

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Q:

The sum of the ages of husband and wife at present is 56. Ten years ago the product of their ages was 320. What is the age of the husband and the wife?

A) 28, 28 B) 32, 24
C) 30, 26 D) 29, 27
 
Answer & Explanation Answer: C) 30, 26

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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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