1. Does there exist a four-digit natural number with distinct non-zero digits that has the following property: if this number is added to the same number written in reverse order, the result is divisible by 101?
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Official solution
1. Answer. It exists.
For example, the number 1234 works. Indeed, 1234+4321=5555=101⋅55.
Source: NuminaMath-1.5,
licensed Apache-2.0.
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