129+ Problems on Ages with Solutions and Explanation

Q:

The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 30 years, what is father's age ?

A) 42 yrs	B) 45 yrs
C) 36 yrs	D) 38 yrs

Answer & Explanation Answer: B) 45 yrs

Explanation:

Let father's age be x year and son's age be y year.

According to question,

2(x+y) = 8y _______(I)

and (x+y)/2 = 30

=> x+y = 60 years__________(II)

From equation (I) and (II)

8 y = 120

y = 15 years,

Hence x = 45 years.

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8 4518

Q:

The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, then the average age will become 32 years. What are the respective ages (in years) of Sita, Gita and Rita?

A) 40, 44, 36	B) 44, 40, 36
C) 34, 26, 30	D) 30, 26, 34

Answer & Explanation Answer: C) 34, 26, 30

Explanation:

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Q:

Tom's father is thrice as old as Tom. 10 years ago Tom's father's age was 7 times his age. What is Tom's current age?

A) 17 years	B) 16 years
C) 15 years	D) 14 years

Answer & Explanation Answer: D) 14 years

Explanation:

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Q:

Jeremy is 26 years younger than his father. Eight years hence his father's age will be two years less than twice his age. What is Jeremy's present age?

A) 20 years	B) 18 years
C) 24 years	D) 22 years

Answer & Explanation Answer: A) 20 years

Explanation:

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Q:

The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ?

A) 59	B) 43
C) 57	D) 47

Answer & Explanation Answer: D) 47

Explanation:

Let their ages be x, y, z
Hence given that x + y + z = 65
Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6
Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

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3 4380

Q:

Satheesh is two years older than Goutham who is twice as old as Sai. If the total of the ages of Satheesh, Goutham and Sai is 27, then how old is Goutham?

A) 12	B) 10
C) 11	D) 13

Answer & Explanation Answer: B) 10

Explanation:

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26 4374

Q:

The average age of 8 men is increased by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

A) 55 Years	B) 62 Years
C) 42 Years	D) 69 Years

Answer & Explanation Answer: B) 62 Years

Explanation:

Let the average of 8 men be x. Age of new man be N.
Total age of 8 men = 8x
⇒ x + 4 = ((8x – 30) + N)/8
⇒ 8x + 32 = 8x – 30 + N
⇒ N = 32 + 30
⇒ N = 62

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Q:

Average age of 4 daughters of a family is 12 years. The average age of daughters and their parents is 26 years. If the mother is 4 years older than the father, then what is the age (in years) of the father?

A) 56	B) 52
C) 48	D) 44

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