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ANSWER: Y = 9.

EXPLANATION: The value of Z can only be 1 (the two highest 2-digit numbers that can be added are 98 and 89 which has a sum of 187). From the tens column, we know that X + Y (or X + Y + 1) is a number ending in Y. So X is much larger than Y for that to be the case. We also know that neither X nor Y can be 0 based on the ones column (otherwise X + Y would give a sum which was either X or Y). So the two numbers and their sum are: 29 + 92 = 121.

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