Numbers are x, x +2 and x + 4 x (x+2) = (x+4)^2 - 40 x^2 + 2x = x^2 + 8x + 16 - 40 2x - 8x = 16 - 40 -6x = -24 x = 4 Numbers are 4, 6 and 8 Check: 4 x 6 = 24, 8^2 - 40 = 64 - 40 = 24 QED
8,10,12
16, 17 and 18
the answer is 6
6 and 8. 6 * 8 = 48 6 * 6 = 36 48 - 36 = 12
Let the 3 consecutive number be represented by n, (n + 1) and (n + 2) Then, n(n + 1) + 37 = (n + 2)2 n2 + n + 37 = n2 + 4n + 4 3n = 33 n = 11 The three numbers are 11, 12 and 13.
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
5, 6 and 7
8, 9, and 10
16, 17 and 18
12, 13 and 14
1, 3, 5
14, 15, 16
4, 6, and 8
8, 10, 12