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For Geeks & Brainiacs #12- ABCD Oh What A Mystery -

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Puzzle Image
Find the values of A, B, C, and D given the following information:

1. A, B, C, and D are all unique positive integers between 1 and 9 (no two variables have the same value).

2. A3 + B3 = C3 - D3

3. C = B + D
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?