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How old is the boy?


Posted Date: 04 Jul 2008      Total Responses: 5

Posted By: sithananthan.k       Member Level: Diamond     Points: 1


A boy’s age is 5 times as old as his sister. His father’s age is twice to that of his mother who is five times as old as the boy. The sum of all of them equals to that of his grandmother who is celeberating his 81st birthday. How old is the boy?




Responses

Author: bharath sudar     04 Jul 2008Member Level: PlatinumRating:     Points: 6
Hi sithananthan.k

Answer:
5 years old
let boys age b x
sister’s = x/5
mother’s=5x
fatther’s=2(5x)
grandmother’s=81
81=x/5+x+5x+10x
81*5 = x+5x+ 25x +50x
405 = 81x
x= 405/81
x=5
so boys age is 5 years


With Regards,
BHARATH SUDAR



Author: ranganathan    04 Jul 2008Member Level: GoldRating:     Points: 5
The answer is 5 because take sisters age as x then the boy's age will be 5x then the mother's age is 25x because it is five times the age of the boy and father's age is 50x twice that of mothers age so grand mothers age is 81 and which is equal to sum of sister, boy,mother and fathers age so x+5x+25x+50x=81 and by solving this we get sisters age is one and boys age as five and mothers age as twenty five and fathers age as fifty


Author: shakeel ahmed    04 Jul 2008Member Level: GoldRating:     Points: 4
Let Boy's age be x years
So, his sister's age is x/5 years.
Mother's age is 5x and father's age is 10x.
Grandma's age is 81 years.
So,
x+x/5+5x+10x=81
16x+(x/5)=81 which gives x=5

The problem was pretty straight forward.

Hope to see more harder puzzles in the future...

thanks


Author: sithananthan.k    04 Jul 2008Member Level: DiamondRating:     Points: 1
BOY AGE is 5 years , FINE BHARATH SUDAR , Explaination very clear for all,so good



Author: Syed    06 Jul 2008Member Level: DiamondRating:     Points: 6
It's explained by bharath in a brilliant way, Good work bharath

Here is some more

http://209.85.135.104/search?q=cache:M86R9HezfSkJ:www.kcnit.ac.in/placement/php/paper/infosys/InfosysPlacementPaper21.doc+A+boy%E2%80%99s+age+is+5+times+as+old+as+his+sister.+His+father%E2%80%99s+age+is+twice+to+that+of+his+mother+who+is+five+times+as+old+as+the+boy.+The+sum+of+all+of+them+equals+to+that+of+his+grandmother+who+is+celeberating+his+81st+birthday.+How+old+is+the+boy%3F&hl=en&ct=clnk&cd=1&gl=ae




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