Respuesta :
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.
It is possible as the numbers are 0 and 6.
Let the numbers be a and b.
Based on the question, the equation to solve the question will be:
a - b = 6 ........ i
a + b = 6 ........ ii
From equation i, a = 6 + b
Put the above into equation ii
a + b = 6
(6 + b) + b = 6
6 + 2b = 6
2b = 6 - 6.
2b = 0
b = 0/2
b = 0
Therefore, the value of a will be:
a = 6-0 = 6.
The numbers are 0 and 6.
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