Numbers are n, n + 2 and n + 4;
n(n + 2) + 46 = (n + 4)2
ie n2 + 2n + 46 = n2 + 8n + 16
Subtract n2 + 2n from each side: 46 = 6n + 16
Subtract 16 from each side: 30 = 6n
Divide each side by 6: 5 = n
Numbers are 5, 7 and 9
Check: 5 x 7 = 35, 35 + 46 = 81 = 9 x 9. Job done
12, 13 and 14
5, 6 and 7
8, 9, and 10
14, 15, 16
4, 6, and 8
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
5,6,7
11,12,13
8,10,12
1, 3, 5
16, 17 and 18
12, 13 and 14
5, 6 and 7
8, 9, and 10
14, 15, 16
4, 6, and 8
3, 5, 7