Latest TCS Aptitude Question SOLUTION: 1. One grandfather has 3 grandchildren two of the age difference is 3. Eldest child age is 3 times the youngest childs age and the eldest child age is two times of sum of other tw

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1. One grandfather has 3 grandchildren two of the age difference is 3. Eldest child age is 3 times the youngest childs age and the eldest child age is two times of sum of other two children. Find what is the age of the elders child? a) 18 b) 22 c) 30 d) 10

Asked In TCS venkatesh (12 years ago)

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Shravan Kumar  (12 years ago)

Let the age of eldest,middle and youngest grandchild be x,y,z respectively.
x=3z and x=2(y+z)
so 3z=2y+2z or z=2y which is practically impossible.
Question is wrong.
Question should be age of eldest is 3 times Middle child's age.
In that case x=3y and x=2(y+z)
So 3y=2y+2z or y=2z
and x=3y=6z
now first condition says age difference between 2 children is 3.
possibilities are x-y=3,y-z=3,x-z=3
or 6z-2z=3,2z-z=3,6z-z=3
Since we need only natural number solutions,the only possibility is y-z=3
or 2z-z=3 or z=3
so y=6 and x=18

Is this solution Helpfull? Yes (10) | No (3)  

Soni  (12 years ago)

@ akhileshwar reddy g

Pls check this statement and then check ur sol.
Eldest child age is 3 times the youngest childs age .
As per your sol
Age of eldest (18) is not 3 times the age of youngest (3).

Pls check.

Is this solution Helpfull? Yes (7) | No (2)  

Dhivya  (12 years ago)

let the age be x,y,z
given x=3z and x=2(y+z)
then x-y=3 or y-z=3 or z-x=3
now, 2(y+z)=3z
2y=3z-2z...2y=z
y=z/2
z=x/3,y=x/6
here where z-y=3 so x/3-x/6=3
hence X=18
by substituting x we will get y=15 and z=6
therfore the answer is a)18

Is this solution Helpfull? Yes (4) | No (6)  

akhileshwar reddy g  (12 years ago)

sol:- suppose the ages are X,Y,Z. Given X=3Z,ans also X=2(Y+Z).
Let us assume Z's age is 6, then X's will be 3*6=18.
from above X=2(Y+Z) 18=2(Y+6), then Y will be 3 and age difference between Y & Z is 3 satisfied.
so X=18,Y=3,Z=6

Is this solution Helpfull? Yes (3) | No (2)  

prasad  (12 years ago)

@dhivya
question is wrong brcause eldest persons age will be 3times of middlest persons age
so in that case the equations will be satisfied

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nayyera  (12 years ago)

18...as x=3z

Is this solution Helpfull? Yes (1) | No (3)  

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