Question

The sum of two digits of a 2 digit number is 8.The number obtained by interchanging digits exceeds the number by 18.find the given numbers.
Answer in one variable

Answer 1

hope it may help you Pls mark as brainliest

Answer 2

This is a tricky one, but let's try it:

Let x be the tens digit of the number.

Let y be the ones digit of the number.

Then we have:

Equation 1:  given

Equation 2:  given



 call this Equation 3

Let's use elimination help us solve this system:

 Equation 1 multiplied by 9

Now add Equation 1 to Equation 3:





If y=5, it is easy to see that x=3

Thus, our two-digit number is 35.

Check:

???

 YES

The tricky part is getting the give Equation 2 correct.

I hope this helps! Keep practicing! :)