Let's call the smallest of the three even integers ' T ' (for 'tiny')
The second even number is T + 2.
The third even number is T + 4.
Add up the 3 even numbers: T + (T + 2) + (T + 4) = 3T + 6
This is 30 more than the smallest of the three.
3T + 6 = T + 30
Subtract T from each side: 2T + 6 = 30
Subtract 6 from each side: 2T = 24
Divide each side by 2 : T = 12
The three consecutive even integers are 12, 14, and 16 .
Check: 12 + 14 + 16 = 42 . By George, that's 30 more than 12 !