Let XYZ be a 3-digit number. Let D be the difference between XYZ and ZYX. What is the remainder when D is divided by 99?

Explanation

XYZ - ZYX = (100x + 10y + z) - (100z + 10y + x) = 99x - 99z = 99(x - z). Since this difference is a multiple of 99, the remainder when divided by 99 is exactly 0.

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