# Re: numbers

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Posted by Brad Paul on October 23, 2002 at 18:45:24:

In Reply to: numbers posted by Jerry on October 23, 2002 at 13:58:42:

: Tim,Tom and Ted each have two numbered cards.
: Tim gives one of his cards to Tom, who gives one of his original cards to Ted.
: Ted in turn gives one of his original cards to Tim.
: Tim, who knew Ted's numbers, said "My total now could be 29 minimum or 48
: maximum."
: Tom, who knew Tim's numbers, said "My total now could be 27 minimum or 72
: maximum."
: Ted, who knew Tom's numbers, said "My total now could be 12 minimum or 62
: maximum".

: Thank you for any help.
Your naming convention does not help. For variables I will use the
middle letter of each name. i.e. Tom=>o

I wrote the equations as I read you question:

Tim,Tom and Ted each have two numbered cards:
i1, i2 Tim's cards
o1, o2 Tom's cards
e1, e2 Ted's cards

Tim gives one of his cards to Tom, who gives one of his original cards to Ted.
Ted in turn gives one of his original cards to Tim:
Everyone will give away there #1 card. This is OK because we have not
specified it's value.

Tim, who knew Ted's numbers, said "My total now could be 29 minimum or 48
maximum."
i2+e1=29
i2+e2=48

Tom, who knew Tim's numbers, said "My total now could be 27 minimum or 72
maximum."
o2+i1=27
o2+i2=72

Ted, who knew Tom's numbers, said "My total now could be 12 minimum or 62
maximum".
e2+o1=12
e2+o2=62

Now you have 6 equations and 6 unknowns.

i1 = -16
i2 = 29
o1 = -7
o2 = 43
e1 = 0
e2 = 19

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