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Dzallen loves solving puzzles at PuzzleFry.com. I am proud PuzzleFry member and like my time invested in solving brain teasers.
  • Answer:  31.63 $

    Let the amount in cents be x, and amount in dollars be y

    1.  x>y (otherwise the second number would be smaller)

    2. Amount of cents in second number is y, since y-5<x,  there must be 1 dollar carried forward when doubling.

    3. Amount of dollars in second number is x, hence (x-1)/2=y (take away the 1 dollar carried forward then half)

    4. y can also be expressed as y=2x-100+5 (double x and take away the 100 cents carried forward, then add the 5 cents)

    5. Therefore (x-1)/2=2x-100+5

    6. Solving the expression above gives x=63, and y=(x-1)/2=31

    Hope all is clear:)

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