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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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