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Thursday, February 8, 2007

Mike has $20 more than Todd. How much does each have given that ....

Mike has $20 more than Todd. How much does each have given that combined they have $21 between them. You can’t use fractions in the answer. (Hint: This is a trick question, pay close attention to the condition)

6 comments:

  1. Mike has $20, Todd initially has $21. Todd keeps all his money on the table between them. Hence, now Todd has nothing, Mike has $20 more than Todd, and they have $21 between them i.e on the table between them.

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  2. Uhh, the previous solution is completely wrong.

    This can be done really easily using algebra -

    Mike = $20 + Todd (1)
    Mike + Todd = $21 (2)
    Substitute for Mike in equation (2)
    $20 + 2*Todd = $21
    Todd = $0.50

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  4. No fractions.... Okay, one has fifty cents -- the other has fifty cents and twenty dollars.

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  5. Mike = 20 + Todd
    Mike + Todd = 2 * 21

    Solving them
    Mike = 31
    Todd = 11

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  6. Mike has $20, and both Mike and Todd has $1 in share. Mike is $20 more than Todd and in total they have $21.

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