2x + 2*(x+1) + 2*(x+2)
2x + 2*(x+2) = 152
4x = 148 x = 34
2x = 68 (2*(x+1)) = 70 and
2*(x+2) = 72
The three consecutive even integers are 74, 76, and 78.
Consecutive even integers are even integers that follow each other and they differ by 2. If x is an even integer, then x + 2, x + 4 and x + 6 are consecutive even integers.
According to the given question.
The sum of the first and third of three consecutive even integers is 152.
Let the three consecutive even integers be x, x+2 and x + 4.
Therefore,
The sum of the first and third even consecutive integers is given by
[tex]x+(x+4) = 152[/tex]
[tex]\implies 2x+4 = 152\\\implies 2x = 152 - 4\\\implies 2x = 148\\\implies x = \frac{148}{2} \\\implies x = 74[/tex]
So, the other two consecutive even integers will be
[tex]x+2 = 74+2 = 76\\and \ x+ 4 = 74+4 = 78[/tex]
Hence, the three consecutive even integers are 74, 76, and 78.
Find out more information about consecutive even integers here:
https://brainly.com/question/8395585
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