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Aptitude - Problems on Ages - Discussion

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

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"Hold a true friend with both hands."
- (Proverb)
4. 

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

[A]. 7[B]. 8
[C]. 9[D]. 10
[E]. 11

Answer: Option A

Explanation:

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.


Dharumaraj S said: (Mon, Jun 7, 2010 12:50:30 PM)    
 
(b-2)+ b + .5b =27

which is an alternate method to solve the same problem.....

Suresh said: (Wed, Jun 16, 2010 05:00:30 AM)    
 
Mr Dharumaraj shall you please explain ur answer?

Shan said: (Sat, Aug 21, 2010 01:37:45 AM)    
 
Hi,

let c year is x
then B is twice of C then, B=2x
Then A is 2 years older then B, therefore now B=2x,Then A=2+B, that is A=2+2x
Therefore sum up all the value:[(2+2x)for A,2x for B,x for C]
therefore 2+2x+2x+x=27
5x+2=27
5x=27-2
5x=25
x=25/5
x=5
now B is directly linked with C rather then A
Therefore B=2x
where x=5
2*5=10 that'z it my frnd

Sri said: (Sat, Oct 2, 2010 12:36:02 PM)    
 
B is twice as old as C means C=2B right?

Raheem said: (Tue, Nov 16, 2010 11:56:03 AM)    
 
Who is twice as old as c means?

Sweta said: (Wed, Dec 22, 2010 06:27:52 AM)    
 
We can also solve as
A's age be x yrs. then B's age is x-2 and C's age is(x-2)/2.

Prashanth said: (Wed, Jan 19, 2011 03:50:40 AM)    
 
Your thought is right but answer will be wrong..just watch
A+B+C=27
x+x-2+(x-2)/2 = 27
2x+2x-4+x-2 = 27*2= 54
5x-6 = 54
5x= 48
Finally x=48/5
which is a wrong ans
always we have to equal the x to the smallest number as per the problem....

Shalini said: (Tue, Feb 22, 2011 12:28:10 PM)    
 
I got ur explantion but in solving y cannt we take

2(2x)+2x+x=27 bcoz when i read this question i did in this way only but when after
I saw this answer it was different.

SO PLZ TELL ME SOME TIPS HOW 2 IDENTIFY THIS IS BELONGS 2 THIS METHODS

Ganesh said: (Fri, Mar 4, 2011 04:16:49 PM)    
 
A=2+B,
B=2C

A+B+C=27
so (2+B) + B + B/2 = 27
2B + B/2 = 25
5B/2 = 25
B=10

Ilaks said: (Tue, May 17, 2011 09:48:07 AM)    
 
@shalini

Read the ques properly.

Assume C=X. it is given that A IS 2 YEARS OLDER THAN B. It means that we should ADD the 2 years to B's age, so A=B+2.

Then for C it is given that it was TWICE AS OLD AS C. so it is understood tat it should be MULTIPLIED WITH THE C'S AGE. so B=2X.

Finally, sub B=2X in A's equation(A=B+2). therefore A=2X+2

Now A+B+C=27, therefore sub the values of A,B,C in the equation

2X+2+2X+X=27
5X+2=27
5X=27-2
5X=25
X=5.

Vignesh Venkatesan said: (Wed, May 18, 2011 07:36:11 AM)    
 
@Sri

b is twice old as c means.. c=b/2
b=2c

Wisdom said: (Mon, Jul 4, 2011 07:05:03 AM)    
 
a=x;
b=x-2;
c=(x-2)/2;

a+b+c=27
x+x-2+[(x-2)/2]=27
[2x+2x-4+x-2]/2=27
5x-6=54
5x=60
x=12
b=x-2;
b=10 we got answer

Sathya said: (Mon, Aug 8, 2011 12:09:29 PM)    
 
Why we take c=x. Why we not take that a=x;.

Please explain.

Swetha said: (Tue, Aug 9, 2011 05:38:21 PM)    
 
@Sathya

We can take a = x also.

Whatever we take, answer 'll be same.

Jatinder S said: (Sun, Sep 11, 2011 11:11:42 AM)    
 
A=B+2....1 given
B=2C .......2 given
from statement 2 : C=B/2
total is 27
therefor
A+B+C=27
B+2+B+B/2=27
4B=50
B=10.

Srini said: (Fri, Nov 4, 2011 11:36:31 AM)    
 
Can you give me short cut to solve this?

Arokiaraj said: (Sun, Dec 4, 2011 07:41:39 AM)    
 
c=x
b=2x
a=2x+2
(2x+2)+2x+x=27
5x=25
x=25/5
x=5
b=2x
b=2*5=10

Nagendra said: (Thu, Dec 22, 2011 10:01:46 AM)    
 
The population of town was 24000. If males increases by 6% and females by9%, it becomes 25620. Number of males and females are?- Please any one explain me...

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