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The Magic Cafe Forum Index » » Puzzle me this... » » Bill and Ben (0 Likes) Printer Friendly Version

Steve Martin
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The present sum of Bill and Ben’s ages is 44. Ben is twice as old as Bill was when Ben was half as old as Bill will be when he is 3 times as old as Ben was when he was 3 times as old as Bill.

How old is Bill and how old is Ben?
Any man who reads too much and uses his own brain too little falls into lazy habits of thinking.
Albert Einstein
Mark Powell
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22 and 22...?
TomasB
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If they are both the same age "...when he was 3 times as old as Bill." could never have happened.

/Tomas
pxs
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Ben is 28 and Bill is 16
LobowolfXXX
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28 & 16 don't work. Working backwards from 28 & 16, Ten years ago, Ben was three times as old as Bill (18 & 6). Bill will be 3 times as old as Ben's age then (18) in 38 years, when he's 54. Ben was 1/2 as old as that last year, at 27. When Ben was 27, Bill was 15. But according to the question, Ben is supposed to be twice as old as Bill's age at that time; thus, Ben would have to be 30..but he isn't, he's only 28.
"Torture doesn't work" lol
Guess they forgot to tell Bill Buckley.

"...as we reason and love, we are able to hope. And hope enables us to resist those things that would enslave us."
stanalger
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Ben is 27.5 years old and Bill is 16.5 years old.
LobowolfXXX
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At 27 1/2 & 16 1/2, Ben was three times as old as Bill 11 years ago, when they were 16 1/2 & 5 1/2. Bill will be 3 times Ben's age at that point when he's 49 1/2. When Ben was half THAT age (24 3/4), Bill was 13 3/4. Ben is currently twice THAT age, or 27 1/2. From my point of view, looks like a point for Stanalger.
"Torture doesn't work" lol
Guess they forgot to tell Bill Buckley.

"...as we reason and love, we are able to hope. And hope enables us to resist those things that would enslave us."
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