If in 7 consecutive even numbers, the largest number is exactly 3 times the smallest number, then the largest number is equal to______ .

If in 7 consecutive even numbers, the largest number is exactly 3 times the smallest number, then the largest number is equal to______ .

Let seven consecutive even numbers be n-6, n-4, n-2, N, N + 2, N + 4, N + 6 in turn, then from the meaning of the title, we can see that N + 6 = 3 (n-6), and the solution is n = 12. So the largest even number is n + 6 = 18