The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?  Choose the correct choice from the following choices: A) 28 B) 39 C) 82 D) Can’t say E) None of these
Let with two digits x and y, original number= 10x+y   Number obtained by reversing the digits= 10y+x   Given the later number is less by 54 than the original, so 10x+y -(10y+x)=54 or x-y=6 ---(i)   Also Sum of the two digits is 12, so x+y= 12 ----(ii)   From (i) &amp; (ii), x=9, y=3   So original number=10x+y= 10*9 +3= 
<gadget id="calculator">10*9 +3</gadget>
<output>93</output>
93   ANSWNone of theseR:None of these
<result>E</result>
The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?