Latest TCS Aptitude Question SOLUTION: 3. The difference between the ages oftwo of my three grandchildren is 5. My eldest grandchild's age is four timesthan the age of my youngest grandchild and my eldest grandchild's a

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(#M40157305) TCS Numerical Ability question ages Keep an EYE

3.
The difference between the ages oftwo of my three grandchildren is 5. My eldest grandchild's age is four timesthan the age of my youngest grandchild and my eldest grandchild's age is threeyears more than the ages of my two youngest grandchildren added together. Howold is my second grandchild?

Asked In TCS keerthana kathorvel (7 years ago)

Unsolved Read Solution (15)

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Read Solution (15) :

omana  (7 years ago)

first consider the conditons
elder as X; 2nd youngest as Y; 3rd grand child as Z
(1) X=4Z
(2) X=3+(Y+Z)
also remember that difference between 2 children among 3 is 5
so lets assume YandZ's age differnece is 5
consider different values for Z
when substuiting Z= 1,2,3 we cannot satisfy the above conditions ...but when Z=4 ..
then X=4(Z)=4(4)=16...(I)
so difference between Yand Z is 5..so Y=9..
which even satisfies X=3+(Y+Z)
X=3+(9+4)
X=16...(II)

from (I).... X=4(Z)=4(4)=16
and (II) X=16

so since the conditions are satisfied ...X=4,Y=9,Z=16
which infers that second child is 9 yrs old

Is this solution Helpfull? Yes (12) | No (2)  

kota pravallika  (7 years ago)

let, eldest grandchild age=F
second grandchild age= S
youngest grandchild age=T
Given that F-S=5 =>F=S+5
F=4T
F=3+S+T
=> S+5=3+S+T
=>T+3=5 =>T=2
=>F=4T=4(2)=8
=>s=F-5=8-5=3
So, the age of secong grandchild is 3 years

Is this solution Helpfull? Yes (10) | No   

dev bohre  (7 years ago)

required age is 3 years

Is this solution Helpfull? Yes (4) | No   

jayakannan  (7 years ago)

E=4X
Y=X
Middle grandchild(m)=x+5
4x=3+(x+5)+x
x=4
x+5=9

Is this solution Helpfull? Yes (3) | No (4)  

ASHISH RANJAN  (7 years ago)

let the age of eldest grandchild (A)=x
then the age of youngest ( C )= 4x
C= 2nd elder grandchild.
4x= B +x+3
B=3x-3

then we can write

A B C

4x 3x-3 x

a/c to question,
case1:

4x-(3x-3) =5;
x=2;
then age B=3

case2:
(3x-3)- x=5
x=4;
the age of B= 9;

thus , there are two possible answer: 3 or 9

Is this solution Helpfull? Yes (3) | No (4)  

deepika  (7 years ago)

Please display correct answer ... quite confusing on seeing different methods

Is this solution Helpfull? Yes (3) | No   

Digambar Patil  (7 years ago)

let us consider three grandchildren as A,B and C.
suppose A is elder and C is Younger,we have to find age of B.
as per given data
=> A-B=5.........(1)
=> A=4C............(2)
also,, A = (B+C)+3...(3)

from 2 and 3
=> 4C=(B+C)+3
i.e. 3C=B+3
=> B=3C-3....(4)

put the value A and B from 2 & 4 in eq . 1

i.e. => 4C-3C+3=5
=> C=2

from 4.....
=> B=3(2)-3
B=3

from 3.....
=> A=(3+2)+3
=> A=8..

So, the required age of second grandchild B is 3 years..

Is this solution Helpfull? Yes (2) | No   

utkarsha levi  (7 years ago)

LETS CONSIDER ELDER AS X; SECOND AS Y; THIRD AS Z
GIVEN
(1) X=4Z
(2) X=3+(Y+Z)
(3) Y=Z+5
SUBSTITUTE (3) IN (2)
WE GET
(4) X=3+(2Z+5)
NOW SUBSTITUTE (1) IN (4) & SOLVE
WE GET
X=16; WHICH GIVES Z=4; Y=9
HENCE THE AGE OF SECOND GANDCHILD IS 9 YEARS

Is this solution Helpfull? Yes (2) | No   

Rajapriyaathangamuthu  (7 years ago)

answer is 9

Is this solution Helpfull? Yes | No (4)  

g.srilekha  (7 years ago)

considering E-eldest,M-2nd grand child, Y-younget grand child;
given conditions are:
difference between ages of two of three grand childs is :5;
E=4*Y;
E=3+M+Y;
i.e 4*y=3+M+Y
Now considering the difference between middle one and the youngest one is 5(M-Y=5);then
4*(M-5)=3+M+M-5 => 4M-20=2M-2
M=9.
So,the age of the 2nd grandchid is 9 years.

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Harish KV  (7 years ago)

g1-g2=5
g1=4g3
g1=3+g2+g3
g1=8yrs
g3=2yrs
g2=3yrs

Is this solution Helpfull? Yes | No   

navi chinnu  (7 years ago)

This q have two ans. Let say, eldest-->e, Middle-->m, Smallest-->s, If we consider e-m=5, ans will be 3..
If we consider m-s=5, it will be 9..

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Bhavana Gollapudi  (5 years ago)

eldest is 16
second child is 9
youngest is 4

Is this solution Helpfull? Yes | No   

Prashanth  (5 years ago)

Most of the people have only considered x-y = 5 or y-z = 5 and neglected x-z=5. My answer considering x-z = 5 is here.
x = 4(z) given
4z = 3+(y+z) given
x-z = 5 considered
4z-z=5
z=5/3. Which means a = 20/3 , b = 2
The required answer is 2 years and it satisfies every condition given.
-----

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Vamsi  (9 Months ago)

youngest be x , then eldest = 3x.
3x = y + x + 2 => y = 2x -2
so ages are 3x , 2x-2 and x respectively.
also difference between two of the child's ages is 3
so 2x-2 -x = 3=> x = 5 , so second grand child = 3x = 3* 5.
=15.

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