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
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
3, 5, 7