Problems on Ages Questions

Q:

Mother’s age today is thrice as her daughter’s. After 10 years it would be just double. How old is the daughter today ?

A) 8 years B) 9 years
C) 10 years D) 11 years
 
Answer & Explanation Answer: C) 10 years

Explanation:

Let the age of the daughter today be ‘x’ years.
Mother’s age today = 3x years
After 10 years, we have
3x + 10 = 2(x + 10)
x = 10 years.

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20 17059
Q:

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

A) 11/P + 6 B) P/11 +6
C) 17 - P/6 D) 17/P
 
Answer & Explanation Answer: A) 11/P + 6

Explanation:

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

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84 16865
Q:

Ten years ago, Kumar was thrice as old as Sailesh was but 10 years hence, he will be only twice as old. Find Kumar’s present age ?

A) 50 years B) 70 years
C) 60 years D) 40 years
 
Answer & Explanation Answer: B) 70 years

Explanation:

Let Kumar’s present age be "x" years and Sailesh’s present age be "y" years.
Then, according to the first condition,


x - 10 = 3(y - 10) => x - 3y = - 20 ........(1)

Now, Kumar’s age after 10 years = (x + 10) years.

Sailesh’s age after 10 years = (y + 10) years.

(x + 10) = 2 (y + 10)  => x - 2y = 10 ......(2)

 

Solving (1) and (2),

we get x = 70 and y = 30

Kumar’s present age = 70 years    and  Sailesh’s present age = 30 years.

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12 16787
Q:

If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?

A) 40 B) 41
C) 36 D) 48
 
Answer & Explanation Answer: B) 41

Explanation:

Raj’s age today = 17 decades,
Hence, 5 decades back, he must be 12 years old.
Rahim must be 36 years old, Because (3×12).
5 years back Rahim must be 41 years old today. Because (36+5).

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34 16561
Q:

Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages

A) 15 B) 25
C) 35 D) 45
 
Answer & Explanation Answer: C) 35

Explanation:

Let A's age 10 years ago = x years.
Then, B's age 10 years ago = 2x years.
(x + 10) / (2x+ l0) = 3/4
=> x = 5.
So, the total of their present ages =(x + 10 + 2x + 10)
= (3x + 20) = 35 years.

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32 16478
Q:

A man’s current age is 25 of the age of his father. After 8 years, he will be 12 of the age of his father. What is the age of father at now ?

A) 50 B) 40
C) 33 D) 30
 
Answer & Explanation Answer: B) 40

Explanation:

Let, father’s current age is A years.
Then, Man’s current age = 25*Ayears.

 25*A+8=12A+8

2(2A+40) = 5(A+8)

A = 40

 



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Q:

Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin

A) 24.5 B) 25.5
C) 26.5 D) 27.5
 
Answer & Explanation Answer: A) 24.5

Explanation:

If Rahul age is x, then Sachin age is x - 7,

 

so, (x-7)/x =7/9

 

 9x - 63 = 7x
 2x = 63
 x = 31.5

So Sachin age is 31.5 - 7 = 24.5

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60 15102
Q:

The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?

A) 12.24 yrs B) 13.25 yrs
C) 16 yrs D) 15.25 yrs
 
Answer & Explanation Answer: D) 15.25 yrs

Explanation:

Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.

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