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Three boys had 144 erasers together. Alan gave some of his erasers to Bill and Bill's erasers doubled. Bill then gave some of his erasers to Charlie and Charlie's erasers doubled. In the end, the three boys had and equal number of erasers each. How many erasers did Alan have?

 Aug 12, 2021
 #1
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In  the end, each  had     144/3  =    48  erasers

 

So   Charlie   had  24  erasers  before   getting  24  from  Bill

 

And   Bill   must  have  had    ( 48  + 24)  =   72  erasers  before  he gave  some to  Charlie

So.....Bill  must have  had  36  erasers  to  start out

 

Then   Alan must  have started out  with     48 +  36  =  84  erasers

 

Proof

Alan  starts with 84  and gives away  36  =   he  has 48  in the end

Bill   starts  with 36  gets 36  from Alan and  gives away  24 =  36 + 36 - 24  =   he  has  48 in the end

Charlie  starts out  with  24  and   ends up  with   twice this =  48

 

 

cool cool cool

 Aug 12, 2021

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