Problems on Ages Questions

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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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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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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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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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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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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Q:

The Average age of 12 men is decreased by one year when two of them having ages 28 years and 32 years are replaced by two women of same age . The age of a women is?

Answer

Suppose age of each women be W and average age of 12 men be x



  


Hence , each woman's age = 24 years

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