The two numbers are 34 and 23.
What is a linear equation?
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Let x and y be the two numbers and x > y.
The sum of the two numbers is 57. Then the equation will be
x + y = 57 ...1
And their difference is 11. Then the equation will be
x - y = 11 ...2
Add equations 1 and 2, then we have
2x = 57 + 11
2x = 68
x = 68 / 2
x = 34
Then the value of y will be
x + y = 57
34 + y = 57
y = 57 - 34
y = 23
Then the two numbers are 34 and 23.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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