lucia is a wonderful grandmother her age is between 50&70.each of her sons have as many sons as they have brothers.their combined number gives lucias present age.what is the age?

• Let x be the number of sons of Lucia.
  Each son has x-1 brothers, so each of them has x-1 sons
  Number of grandchildren of Lucia = x(x-1)
  Lucia's age = number of sons + Number of grandchildren = x+x(x-1), it should lie between 50 and 60
  x=8 only satisfies the condition
  so Lucia's age = 8+8*7=8+56=64
• 10 years agoHelpfull: Yes(39) No(0)
• The question basically states that if lucia were to have say 10 sons, then each son would have 9 sons (lucia's grandsons - since each son has 9 brothers). So the total in this case would be 9*10 grandsons + 10 sons = 100. Solving for similar numbers, the answer is 8 sons and 7 grandsons from each son. The total is 7*8 grandsons + 8 sons = 64
• 12 years agoHelpfull: Yes(38) No(13)
• 64
  
  She had 8 sons.
  Each son had 7 sons.
  
  so total 8 *8=64 which is age of LUCIA.
• 12 years agoHelpfull: Yes(8) No(14)
• sreelaxmi gave the best logic
• 9 years agoHelpfull: Yes(3) No(3)
• answer is 64.
  becoz 8 is the only possible number which satisfies the given condition. as their are 8 sons each son has (8-1=7) sons . therefore;
  lucia age =8+(8*7)=8+56=64
• 7 years agoHelpfull: Yes(0) No(0)