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Question
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
Solution
Let this two digit number be XY. Then as per the question,
XY = 14 .......(i)
XY + 45 = YX .........(ii)
From (i) , possible combination are : 27 , 72.
From (ii) , it's clear that the number XY is less than YX as we are adding 45 to XY which makes it equal to YX.
Hence , the number is 27 and we add it by 45 , we get a number of 72 which is a number where the digit are interchanged.
hence answer is 27.
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