The sum of the digits of a certain two digit number is 11. reversing its digits increases the number by nine find the number

Answer 1

t represents the tens digit

o represents the ones digit

t + o = 11

The reverse of the number is 10o + t

10o + t = 10t + o + 9

9o - 9t = 9

o - t = 1

Now solve the system.