The even integers are 10,12 and 14.
Concept: An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+1/2, and √2 are not.
Let x,x+2,x+4 be the least, middle and greatest integer respectively.
According to the question,
15< x+x+2+x+4< 21
(3x+6)/2> 15 and (3x+6)/2< 21
30< 3x+6 3x+6> 42
24<3x 3x<36
8<x x>12
x=10
x+2=12
x+4=14
Hence, The even integers are 10,12 and 14.
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