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x + y = 16 so x = 16 - y

10y + x = 10x + y - 18

9y = 9x - 18 ie 9y = 144 - 9y - 18 ie 18y = 126: y = 7 so original number was 79

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Q: The sum of the digits of a two-digit number is 16 If the digits are reversed the new number is 18 less than the original number Find the original number?
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