Question

The unit digit of a two digit number is 6 more than the tens digit .when the digits are revrsed the resulting number is54 more than the orignal number. Find the number.

Answer 1

let,the tens digit be x
therefore, ones digit=[x+6]
original number = 10*tens digit +ones digit
=10*x+[x+6]
=10x+x+6
=11x+6
by reversing the number x+6 become tens digit and x become ones digit
therefore,new number=10x+6+x
=11x+6
= we know that the resulting number =54+11x+6
therefore, 11x+6=60+11x
22x=66
therefore x=33