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Aptitude - Problems on Ages - Discussion

@ : Home > Aptitude > Problems on Ages > General Questions - Discussion

5. 

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

[A]. 24[B]. 27
[C]. 40[D]. Cannot be determined
[E]. None of these

Answer: Option A

Explanation:

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.

Then, 5x + 3 = 11
4x + 3 9

9(5x + 3) = 11(4x + 3)

45x + 27 = 44x + 33

45x - 44x = 33 - 27

x = 6.

Anand's present age = 4x = 24 years.


M.Pradeepa said: (Fri, Jan 28, 2011 12:15:22 AM)    
 
Why the number 3 is added to 5x and 4x?

Srinivasan said: (Thu, Feb 3, 2011 09:55:22 PM)    
 
Three years hence, the ratio of their ages will become 11 : 9 respectively.

So we need to add 3 on both side.

Gangadhararao said: (Wed, Feb 9, 2011 05:15:50 AM)    
 
5 children, youngest 3yrs old and no 2 children have the same age, sum of their age is 26. Find the age of eldest.

Give me explanation.

Vijay said: (Mon, Feb 21, 2011 02:17:41 AM)    
 
In the answer column they put 24 as the answer, please answer to my doubt if anand current age is 24 (as specified) then 3 years later his age will be 21 then how will you specify the age 21 in 5:4. Can divide the age 21 by 4 ?

Ravi said: (Thu, Apr 21, 2011 10:42:58 PM)    
 
Give solution for 11/9.

Vandhanasuberwal said: (Sat, May 7, 2011 10:06:45 AM)    
 
Ratio of the age of two persons is given. Let their age be in the ratio 5x &4x. it becomes 5x/4x .then in the question it is given,3years hence{means after 3years} then add 3in 5x/4x then we get 5x+3/4x+3.but in the question it is given that after 3years the ratio becomes 11\9 .SO IT becomes as 5x+3/4x+3=11/9. Now we can solve the question...

Ramakhanna said: (Wed, May 11, 2011 05:49:18 AM)    
 
Three years hence ======> three years from present age.

The dictionary meaning for the word "hence" is "FROM NOW".

I think this will be useful in calculations.

Payal said: (Sat, May 21, 2011 07:14:52 AM)    
 
Three year hence means AFTER THREE YEAR.

So, WE ADD 3 YEAR OK GUYS.

Shyam Kumar said: (Tue, Aug 16, 2011 12:19:32 PM)    
 
Could any explain why should we multiply 4x.

Varun said: (Sun, Aug 28, 2011 07:00:18 PM)    
 
Can any one tell me that how 4x has occured.

Rk333 said: (Mon, Aug 29, 2011 01:12:29 PM)    
 
Here Sameer age & Anand age are assigned to x.

How is it possible? why we can't take two variables?

Kishan said: (Sat, Sep 17, 2011 05:07:33 PM)    
 
Can any one tell me how to read 4x and 5x. In both value we can assign same variable? Is it possible?

Srini said: (Fri, Nov 4, 2011 11:41:14 AM)    
 
Can some one give short cut to solve this ?

Murugan K said: (Wed, Dec 14, 2011 09:54:54 PM)    
 
5 years ago A age was 3 times as old as B . If A is 30years older than B .The present age of A?

Agila said: (Thu, Jan 5, 2012 03:17:03 PM)    
 
Given Ratio 5:4----->(1)
Difference between the ratio is 1
After three years 11:9---->(2)
Difference between the ratio is 2
Both the ratio difference are not same.

So muliply (1) by 2, we get 10:8
||ly multiply (2) by 1, we get 11:9. now the difference are same
Anand's present age=8*3=24 years

Vinothini said: (Sat, Feb 4, 2012 02:41:58 PM)    
 
I hope my solution will help you...

Now Sameer age be x, Anand be y.

Ratio is x/y = 5/4 fine.... then 3 years after right, so x+3/y+3 = 11/9,

Then, will produce the eqn...4x=5y--------->1

9x+27=11y+33---------->2

We obtain that is x=5y/4, put into eqn 2,

9*5y/4-11y=33-27
45y-44y=6*4

y = 24 so simple friends.

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