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Let say that the number is xy, then

y + x = 8

y - x = 6 add both equations;

2y = 14 divide by 2 to both sides;

y = 7

7 + x = 8 substitute 7 for y to the first equation of the system, and subtract 7 to both sides;

x = 1

The number is 17.

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Q: The sum of the digits of a two-digit number is 8 and their difference is 6 if the value of the number is less than 50 what is the number?
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