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Part of 1993 Baltic Way

Problems(1)

Find all three-digit numbers

Source: Baltic Way 1993

6/15/2012
a1a2a3a_1a_2a_3 and a3a2a1a_3a_2a_1 are two three-digit decimal numbers, with a1a_1 and a3a_3 different non-zero digits. Squares of these numbers are five-digit numbers b1b2b3b4b5b_1b_2b_3b_4b_5 and b5b4b3b2b1b_5b_4b_3b_2b_1 respectively. Find all such three-digit numbers.
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