a lady's age is between 50 and 70.each of her sons has many sons as his
brothers. the sum of the sons and grandsons in the lady's age. what is her age?

• Lady's age = 64
  
  Let assume Lady has 'N' children.
  Each child have (N-1) children. (Grandsons for that lady).
  
  S0, total children = N+(N*(N-1))
  
  By, putting N=6, we get 6+(6*(6-1)) = 36 childrens.
  By, Putting N=7, we get 7+(7*(7-1)) = 49 childrens.
  By, putting N=8, we get 8+(8*(8-1)) = 64 childrens.
  By, putting N=9, we get 9+(9*(9-1)) = 81 childrens.
  
  Here, Lady's age between 50 to 70.
  So, answer is 64.
  
  Lady age is 64 and she have 64 sons and grandsons in total.
  
• 12 years agoHelpfull: Yes(43) No(3)
• If lady has 2 children the total children & grandsons are 4.
  & if lady has 3 children the total children & grandsons are 9.That means perfect square.
  
  
  since, in b/w 50 & 70 only 64 is perfect square, hence 64 is the answer
  
• 11 years agoHelpfull: Yes(24) No(0)
• 8 sons.
  Each son has 7 sons ( grandsons of lady).
  
  Total members = 8+8*7 = 64
  
  64 years
• 12 years agoHelpfull: Yes(2) No(6)
• 64...
  As 8 sons will have 7 brothers implies each son will have 7 son's.
  7*8=56 grandsons
  56+ 8 sons =64
• 12 years agoHelpfull: Yes(1) No(0)
• no of sons 7 and no of grandsons 7*7=49 -> 7+49=56 years old
• 10 years agoHelpfull: Yes(1) No(1)
• number of sons and grandson's are consecutive so answer has to be the numbers which are consecutive.so numbers are 7 nd 8 ie:7*8=56 look now the ans is within 50 and 70 no other consecutive number lie within this range...:)
• 12 years agoHelpfull: Yes(0) No(3)
• let x be number of sons ,then total number of grandsons becomes x^2, now sum of sons and grandsons(x+x^2) which is equal to x^3, perfect cube between 50 to 70 is 64, so 64 is her age.
• 7 years agoHelpfull: Yes(0) No(0)
• if lady has 1 son then there is only 1 grandson
  
  if lady has 2 sons then each of them having 1 son...
  
  if 3 son then A B C
  2 2 2 ->son beCAUSE A has 2 brother so A has 2 son similarlly for B AND C
  then if lady has 3 son then sum of son and grand son 1+1+1+2+2+2=9
  
  making perfact square b/w 50-60 8^2=64
• 7 years agoHelpfull: Yes(0) No(0)
• Let the number of sons be 'X'. Then the number of brothers one son has is 'X-1'. so the number of grand children each son has is 'X-1'. Therefore the sum of sons and grandsons is
  = X + X ( X - 1)
  = X + X^2 - X
  = X^2 which is a perfect square.
  the only perfect square between 50 and 70 is 64.
  therefore the number of sons are 8 and grandsons are 7 x 8 = 56
  the age of the lady is 8 + 56 = 64
• 7 years agoHelpfull: Yes(0) No(0)