Given data:
Let the three consecutive even inetgres are a-2, a, a+2.
the sum of the twice the smallest and three times the largest is 42.
2(a-2)+3(a+2)=42
2a-4+3a+6=42
5a+2=42
5a=40
a=8
Thus, the even integrers are 6, 8, 10
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