1997 PMWC Problems/Problem T9

Problem

Find the two 10-digit numbers which become nine times as large if the order of the digits is reversed.

Solution

Please fix this problem, it has no solution.

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Notice that the two digit number has to be 10 or 11, because any number higher would give a 3 digit number when multiplied by 9. But neither 10 nor 11 work, so there is no solution.