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More ways to get Braingle...

Tammy's Age

Math brain teasers require computations to solve.

 

Puzzle ID:#7963
Fun:*** (2.45)
Difficulty:*** (2.97)
Category:Math
Submitted By:snaps*au****
Corrected By:MarcM1098

 

 

 



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?

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