The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

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Let the ten's digit be x and unit's digit be y. Then, (10x + y) - (10y + x) = 63 => 9 (x - y) = 63 => x - y = 7. Thus, none of the numbers can be deermined..

The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

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