SOLUTION: 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

Question 168564: 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 when Tony was born. Actually, it's 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 their ages. So how old are Tommy, Timmy, Tammy, Tracey, Tony and Mum now?

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
After alot of processing of factors etc.
:
the ages are
Mum---45
tommy-25
timmy-21
tammy-18
tracey-16
tony---15
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