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

Accepted Solution

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:[tex]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[/tex]Hence, the only possible numbers are 6 and 0.