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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.
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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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