Problem:
The sum of four consecutive even integers is 52. Find the integers
The four integers are 10, 12, 14, and 16
Explanation:
Let the four consecutive even integers be x, x+2,x+4,x+6.
So that we have one equation:
x + (x + 2) + (x + 4) + (x + 6) = 52
Combine like terms.
(x + x + x + x) + (2 + 4 + 6) = 52
--> 4x + 12 = 52
--> 4x = 52 - 12
--> 4x = 40
--> x = 10 (division property)
Hence, the integers are:
x = 10
x + 2 = 10 + 2 = 12
x + 4 = 10 + 4 = 14
x + 6 = 10 + 6 = 16
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