SOLUTION: what is the smallest number that increases its value by 12 when the numbers order of the digits is reversed?

SOLUTION: what is the smallest number that increases its value by 12 when the numbers order of the digits is reversed?

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Question 465635: what is the smallest number that increases its value by 12 when the numbers order of the digits is reversed?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I don't think there is such a number. This is because the digit sum remains the same, hence both numbers are congruent modulo 9. Switching the digits will only increase or decrease the number by a multiple of 9; since 12 is not a multiple of 9 there are no such numbers.
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