Select any three-digit number in which all digits are different, such as 571. Reverse the digits and subtract the smaller number from the larger number: 571 - 175 = 396. Reverse the digits in that number and add the new number to the old number: 396 + 693 = 1,089. (Note: If an answer has two digits, place a 0 in the hundreds place.) Now select several other three-digit numbers and try the procedure again. By using inductive reasoning, what can you conjecture?
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