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Aptitude - Problems on Ages - Discussion

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

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"Forgiveness is a virtue of the brave."
- Indira Gandhi
9. 

At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

[A]. 12 years[B]. 15 years
[C]. 19 and half[D]. 21 years

Answer: Option B

Explanation:

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26       4x = 20

x = 5.

Deepak's age = 3x = 15 years.


Sophia said: (Thu, Jun 17, 2010 06:36:45 PM)    
 
The answer derived is not very clear. Most descriptions required before the last step.

Shree said: (Wed, Feb 16, 2011 04:49:01 AM)    
 
Let y is the present age of deepak
take ratio as 4X/3X
aftr 6 yrs, (4x+6)/(3x+6)=26/y
first consider numerator,
4x+6=26
4x=20
x=5
now consider
3x=y
3(5)=y
y=15 (No need to add 6 bec present age only they have asked)

Mrs Pallavi said: (Thu, May 19, 2011 06:02:18 PM)    
 
Really simple and clear logic behind it !

Read problem carefully,

2nd statement is very imp.
as per 2nd statement arun's current age is=(26-6)=20 yrs
now 1st statement ,
ratio of age 4:3
4 is for arun age
therefore 20/4=5
now deepak current age as per ratio 5*3=15 year

Have nice day!

Naveen Kumar said: (Sat, Jul 9, 2011 12:55:27 AM)    
 
Hi friends...Here is a simple method to solve this problem...

Let arun age be x and deepak age be y

The ratio of ages are x/y = 4/3...

from the above equation we can write.

x=4y/3......(1)

given that after 6 years arun age will be 26 years..

x+6 = 26....


4y/3 + 6 = 26.
4y/3 = 20.
4y = 60.
y = 15.

Hence,deepak age is 15 years..
susbstitute the x value from eq (1).

Simmi said: (Mon, Aug 22, 2011 11:48:17 AM)    
 
Why not 19. 5. As x=5. Hence x=3y/.

Aman said: (Tue, Aug 23, 2011 02:36:49 PM)    
 
Well said Naveen. Your's is a better method.

Arif Ibrahim said: (Sun, Sep 4, 2011 01:28:25 PM)    
 
Well method Naveen and it's easy too.

Sai said: (Wed, Dec 7, 2011 08:06:50 PM)    
 
Age =x
Ration of arun and deepak is 4:3
After 6 year arun age wil be 26
So, 4x+6=26
= x=5
Deepak age wil be =3x=15

Aish said: (Tue, Mar 6, 2012 08:47:14 PM)    
 
Anyone please explain this problem.

Last year pandit was thrice his sister's age. Next year he is only twice her age. After 5 years what is pandit's age.

Kiruthika said: (Sat, Mar 10, 2012 10:15:08 PM)    
 
Thank you shree. You have cleared my doubt.

Shilpa said: (Wed, Apr 25, 2012 07:20:41 PM)    
 
Arun age 4x+6=26----------->1
4 is ratio x is variable n 26 is his present age
Deepak age y=3x------------>2
Here y is taken for just to equate, x is variable
Now simplify eq 1
4x=26-6 ==> x=5
Sub x value in eq 2
y=3*5 (y is deepak's age)
y=15
That's it:)

Sai said: (Thu, Jul 19, 2012 03:05:09 PM)    
 
Given that Arun and Deepak age are in the ratio 4x:3x.

Arun age after 6 years is 4x+6=26.

X=5.

3x=15.

Archana Tripathi said: (Wed, Jan 9, 2013 09:50:39 PM)    
 
Let arun age is x and deepak age is y.
According to question,

x/y= 4/3 -- (1)
x+6=26
x=20.

From(1)

y=(3/4)*x
Put x=20
y=(3/4)*20
y=15

So deepak age is 15 years.

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