the sum of the digits number is 12 if 18 is added to it the digits are reversed find the number
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The solution can be obtained by letting x be the 'tens digit', and y be the unit digit, so that the original number is 10x+y. Then 10x+y+18=10y+x, because the digits are reversed. This simplifies to 9x+18=9y, or x+2=y. Since the digits add up to 12, x+y=12.
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