The integers are 12,14 and 16
How to determine the integers?
Consecutive even integers are represented as:
x, x + 2 and x + 4
So, the statement is represented as:
7 * (x + x + 2 + x +4) = 140 + 11 * (x + 2)
Evaluate the like terms
7 * (3x + 6) = 140 + 11 * (x + 2)
Open the brackets
21x + 42 = 140 + 11x + 22
Collect the like terms
21x -11x =
Evaluate
10x = 120
Divide by 10
x = 12
So, we have
x + 2 = 14
x + 4 = 16
Hence, the integers are 12,14 and 16
Read more about consecutive numbers at:
https://brainly.com/question/10853762
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