the sum of the digit of a two digit number is 8 and the difference between the number and that formed by reversing the digits is 18 find the number

The number is 53.

Step-by-step explanation:

If the digits are x and y where x is the first digit then we have the equations:

x + y = 8 ... (1)

10x + y - (10y + x) = 18

9x - 9y = 18

Dividing through by 9:

x - y = 2 ... (2)

Adding (1) and (2):

2x = 10

x = 5

and y = 8 - 5 = 3.