A 2 digit number is such that ones digit is 1 more than the tens digit . The ratio of this number and the number formed by reversing its digit is 5 : 6. Find no

Question

The answer should be 1 ©]

Answer 1

Let x = tens digit and y = ones digit

 

Then the number can be expressed as 10x + y

 

We know that y = x + 1 and (10x+y) / (10y+x) = 5/6

 

Replacing y by x+1 in the second equation, we have:  (11x+1) / (11x+10) = 5/6

 

   So, 6(11x+1) = 5(11x+10)

 

        66x + 6 = 55x + 50

 

                11x = 44

 

                   x = 4 and y = x+1 = 5

 

The number is 45.