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# Aptitude - Problems on Ages - Discussion

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"I never see what has been done; I only see what remains to be done."
- Marie Curie
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

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...

 Naresh said: (Mon, Mar 5, 2012 04:52:29 PM) Hi dude............ females(Y)=6000,males(X)=18000 x+y=24000........................(1) (106/100)x+(109/100)y=25620.......(2) by solving this 2 u get before increasing values.......... after increasing total number of females are (109/100)*6000=6540 after increasing total number of males are (106/100)*18000=19080 total is 25620 Hence proved(any doubts?)

 Renu said: (Tue, Apr 10, 2012 12:32:53 AM) A+B+C=27 (B+2)+B+(B-2)=27 3B=27 B=9

 Geetha said: (Mon, Apr 30, 2012 08:24:08 PM) How u get x=18000 and y=6000? How it come? 106/100 109/100

 Kalai said: (Mon, May 7, 2012 04:32:19 PM) A is 2 years old than B ===> A= B+2 B is Twice as old than c ===> B=2C ==> C=B/2 A+B+C = 27 So we can write as below A+B+C = 27 B+2+B+B/2 = 27 B+B+B/2=27-2 2B+B/2=25 (4B+B)/2=25 5B=50 B=10

 Rupinder said: (Mon, Jun 4, 2012 01:36:41 PM) A+B+C=27----------(1) A=B+2-------------(2) B=2C => C=B/2-----(3) Put (3),(2) in (1) =>(B+2)+B+(B/2)=27; => 2B+4+2B+B=54; => 5B=50-4; => B=10; Hope it'll help you

 Shajil George said: (Wed, Sep 12, 2012 11:34:36 AM) Let the age of c is x Given that the age of b is twice of c age so, b is age is 2x Similarly a is two years grater than b is age, so, a is 2x+x From the Question The sum of a,b,c is 27 Then, 2x+2+2x+x=27 5x+2=27 5x=27-2 5x=25 x=25/5 =5 So,the age of b is 2x, The value of x is 5 So the age of bis 10.

 Neeta said: (Sun, Oct 14, 2012 09:41:11 PM) Why can't we take B=x? if answer is same when we assume any one out of A B C =x, answer will be wrong if we assume B=x B=X A=X+2 C=2X Then A+B+C=27 X+2+X+2X=27 4X+2=27 4X=27-2 X=25/4 X=6.25