I was talking to a friend Tammy, the middle child of five. she has a younger sister Tracey, and three
brothers Tommy (oldest child), Timmy and Tony (youngest child). I asked her how old she was, but she
hardly ever gives a straight answer. The following is the conversation we had.
"How old are you Tammy?"
"I am three times as old as Timmy was born. Actually, it's a funny, but Timmy's,tracey's, Tommy's and my
ages were all factors of Mum's age when Tony was born. The only other year where the ages of more than
two of us were factors of Mum's age was when Tracey was half as old as I am now."
"How old is your Mum now?"
"There's another funny thing. when Mum turns 50, tony will be the same age Mum was when she gave birth
to Tommy"
Assuming Tammy was talking in terms of whole years, and with my mathematical and reasoning abilities i
was able to quickly deduce not just Tammy's age, but all of thier ages. so how old are
Tommy,Timmy,Tammy,Tracey,Tony and Mum Now?
a) Tommy is 26, Timmy is 17, Tammy is 16,Tracey is 13, tony is 12 and Mum is 43
b) Tommy is 23, Timmy is 19, Tammy is 18,Tracey is 16, tony is 13 and Mum is 43
c) Tommy is 28, Timmy is 21, Tammy is 23,Tracey is 19, tony is 17 and Mum is 43
d) Tommy is 21, Timmy is 20, Tammy is 19,Tracey is 17, tony is 15 and Mum is 43

• the ans is b..based on the options given.because.in this opetion when we subtract 13 from each age then all the ages are facotros of moms age.
  
• 11 years agoHelpfull: Yes(16) No(0)
• How this condition is satisfied :-
  
  "How old are you Tammy?"
  "I am three times as old as Timmy was born.
• 11 years agoHelpfull: Yes(4) No(2)
• in all of optn the second condition is satisfieed by b....so thats all
  
• 11 years agoHelpfull: Yes(2) No(0)