Question

Is it possible for two numbers to have a difference of 6, and also a sum of 6?

Answer 1

Answer:

The only possible numbers are 6 and 0.

Step-by-step explanation:

We are given the following information in the question:

Let x and y be the two numbers whose difference is 6 and whose sum is also 6.

We can write it in the form of the equation:

$x - y = 6\\x+y =6\\\\\text{Adding the two equations}\\(x-y) + (x+y) = 12\\2x =12\\x = 6\\\\\text{Putting this value of x in one of the equations}\\6 + y = 6\\y = 0$

Hence, the only possible numbers are 6 and 0.

Answer 2

The two numbers are 0 and 6