3. Three times the smallest of three consecutive even integers is two more than twice the largest. Find the integers
Let the three consecutive even integers be x, x+2, and x+4.
Three times the smallest integer: 3x
Two more than twice the largest integer: 2(x+4) + 2 = 2x + 8
According to the problem:
3x = 2x + 8
Subtracting 2x from both sides:
x = 8
Therefore, the three consecutive even integers are 8, 10, and 12.