Question

Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven

Answer 1

Let the three odd integers be x - 2, x and x + 2
x - 2 + x = 3(x + 2) + 7
2x - 2 = 3x + 6 + 7
2x - 2 = 3x + 13
3x - 2x = -2 - 13
x = -15

The three consecutive odd integers are -17, -15 and -13.