Question

the sum of the digits of a two digit number is 8. if the number formed by reversing the digits is less than the original number by 18, find the original number

Answer 1

Let x and y be the 2 digits

x + y = 8 equation 1

10y + x + 18 = 10x + y

9y - 9x = 18

9 ( x - y ) = 18

x - y = 18/9

= 2 equation 2

Solve the equations

y = 3

x = 5

The original number is 53

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