Let a = smallest number, then other numbers are a + 2 and a + 4
so a x (a +2) + 46 = (a + 4)^2
ie a^2 + 2a + 46 = a^2 + 8a + 16
this simplifies to 30 = 6a so a = 5 and the three numbers are 5, 7 and 9.
Check: 5 x 7 = 35, add 46 gives 91 = 9 squared.
12, 13 and 14
8, 9, and 10
5, 6 and 7
14, 15, 16
8, 10, 12
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
8, 9, and 10
5, 6 and 7
14, 15, 16
4, 6, and 8
3, 5, 7