Latest Others Aptitude Question SOLUTION: A grandma has many sons; each son has as many sons as his brothers. What is her age if it?s the product of the no: of her sons and grandsons plus no: of her sons?(age b/w 70 and 1

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A grandma has many sons; each son has as many sons as his brothers. What is her age if it?s the product of the no: of her sons and grandsons plus no: of her sons?(age b/w 70 and 100).

Asked In Others Dhanshri (12 years ago)

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Naunihal Maurya  (12 years ago)

Let N be number of sons to grandma. Then according to question (N-1) children to each son of grandma.Now
Age of grandma=(no. of grandma son's)*(no. of grandsons)+ no. of grandma son's
= N * [N*(N-1)] + N
Putting N=1,2,3,4,5
We get Age of grandma=52 , when N=4 and
Age of grandma=105 ,when N=5
Hence no solution between 70 and 100.

Is this solution Helpfull? Yes (10) | No (6)  

gopi  (10 years ago)

What Mr.Naunihal Maurya said is right. If grandma age is in b/w 70 and 100,The question should be like following....
A grandma has many sons; each son has as many sons as his brothers. What is her
age if it?s the product of the no: of her sons and grandsons of each son plus no: of her sons?(age b/w 70 and 100).

nw the answer is.... (9*8)+9=81

Is this solution Helpfull? Yes (7) | No   

Ashu  (12 years ago)

@ Imran,
Pls check your statement

'therefore (4*12)+(total sons=4)=68+4====72.....'

4*12= 48 and not 68.

I think given data is not correct.

Is this solution Helpfull? Yes (6) | No (1)  

vikas rathore  (12 years ago)

Let N b the no of son. Then acc. To d question each son has N-1 Son(no.of their bro)
So N*N(N-1) is d age of d gandma
By putting
N=1,2,3,4&5
So when n=5
Gandma's age is 100(b/w 70 to 100)
So ans is 100 years

Is this solution Helpfull? Yes (2) | No (9)  

imran khan  (12 years ago)

consider grandma has 4 sons
total grandsons=12(because each son has as many sons as his brother) so 4*3=12
therefore (4*12)+(total sons=4)=68+4====72.....
Ans 72

Is this solution Helpfull? Yes (1) | No (14)  

Arth Malviya  (7 years ago)

81 is correct

Is this solution Helpfull? Yes (1) | No   

Arth Malviya  (7 years ago)

the answer to dis question mentioned everywhere is 81...but i dont know the solution..... AND WHAT I THINK IS THE EQUATION SHOULD BE N*N(N-1)+N........ BCOZ ITS WRITTEN IN THE QUESTION THAT "PLUS THE NUMBER OF HER SONS"........... PLZZZ HELP
Update 2: MAY BE ITS THIS WAY....

grandma has x sons...those x sons in total have (x-1) sons... so the equation would be now..

x(x-1)+x
#x(sqaure)........and to satisfy the condition of her being btw 70 and 100..only 9 should be the number...
hence 9(square) is 81.........

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