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.

Answer 1

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.