Question

The sum of the digits of the two digit number is 15 if the number is formed by reversing the digit is less then the original number 27 what is the original number

Answer 1

Answer:

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

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