Final answer:
To find the two-digit number, set up and solve algebraic equations using the given information.
Step-by-step explanation:
To find the number, let's use algebraic equations. Let's assume the tens digit of the number is 'x' and the units digit is 'y'. The given information tells us that the sum of the digits is 8, so we can write the equation 'x + y = 8'.
The difference between the number and the number formed by reversing the digits is given as 18. This means the number can be written as 10x + y and the reversed number can be written as 10y + x. So, the equation for the difference is '10x + y - (10y + x) = 18'.
By solving these two equations simultaneously, we can find the values of 'x' and 'y' which will give us the two-digit number.