The sum of digits of two – digit number is 12. If 18 is added to it, the digits are reversed. Find the number.
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Call the digits x and y . Then
x+y=12
10x+y+18=x+10y
From 2 we have 9x−9y=−18 so x−y=−2. Add this to equation 1 to find 2x=10, so x=5 and y=7. and yes, 57+18=75.
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