11 and 17
Let the smaller number be x. The other number is x + 6
(We know that because they differ by
6. One is 6 more and the other is 6 less.)
Hence, The sum is 28
x + x + 6 = 28
2x + 6 = 28
2 x = 28 − 6
2x = 22
x = 11
Using TWO variables - you need TWO equations.
Let the numbers be x and y
x − y = 6 → A
x + y = 28 → B
2x = 34 ← A + B
x = 17
y = 17 − 6 = 11
The numbers are 11 and 1