Q. A lady's age between 50 and 70.each of her son has many sons as his brothers. The sum of the sons and the grandsons is the lady's age. What is her age??

• ans is 64
  
  let the lady has 4 sons.then each son has 3 brothers and so 3 sons.so total number of grand sons= 4*3=12 and son=4
  total=12+4=16=4^2
  i.e. n*[(n-1)n]=n^2
  similarly, a perfect square between 50 and 70 is 64.
• 11 years agoHelpfull: Yes(2) No(0)
• Let the no. of sons of a lady equals to x.Each sons will have (x-1) brothers ( note not x brothers)
  and each brother will have as many sons as brothers. that means the total no.of grandsons of a lady is equals to x(x-1) and the total no of sons of a lady is x.
  therefore the lady age is equals to x+x(x-1)= x^2. And the only option that fit in 50-70 is 64. so the lady age is 64.
• 11 years agoHelpfull: Yes(1) No(2)
• ans is 64
  
  let the lady has 4 sons.then each son has 3 brothers and so 3 sons.so total number of grand sons= 4*3=12 and son=4
  total=12+4=16=4^2
  i.e. n+[(n-1)n]=n^2
  similarly, a perfect square between 50 and 70 is 64.
  
  
• 11 years agoHelpfull: Yes(1) No(0)
• The answer is 64.
  It is given that every Son has many sons as his brothers.
  Therefore , if there are 8 Sons of that lady then total grandsons will be 8*(8-1)=56 and sum of total grandsons and sons will be 56+8=64
• 11 years agoHelpfull: Yes(1) No(0)