Question

The digital of a two digital number differ by 5. If the digital are interchanged and the resulting number ,we get 99.find the original number

Answer 1

Answer: 144

Step-by-step explanation:

Let the two digits of a 2-digit number be x and x-5.

The original number = 10*(x)+(x-5)

The digit interchanged number = 10*(x-5)+(x) = 99

                                                       = x = 149/11

The original number = 10*(149/11)+(149/11 -5)

                                    = 144