Question

16. The sum of the digits of a two-digit number is 15. If the number formed by reversing the
digits is less than the original number by 27. Find the original number.

Answer 1

Answer:

please see under

Step-by-step explanation:

let tens digit of the original number be x

so original number,

10(x) + (15-x) 

reversing digits mean

10(15-x) + x

therefore

[10(x) + (15-x)]-[10(15-x)+x] = 27

or  10x + 15-x - 150+10x-x = 27

or 10x + 10x + 15 - 150 -x - x = 27

or 20x - 135 -2x = 27

or 18x - 135 = 27

or 18x = 27 + 135

or 18x = 162

or x = 162/18

or x = 9

original number = 10(x) + (15-x) 

                             = 10(9) + (15-9)

                             = 90+6

                             = 96

please mark as brainliest