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A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places.

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A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.

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Let a digit at unit's place be x and at ten's place by y.

The according to problem 

Required no. 10y + x

On interchanging the digits 

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