Question

Two times the least of three consecutive odd integers exceeds three times the greatest by 15

Answer 1

n, n + 2, n + 4 - three consecutive odd integers

The equation:

2n = 3(n + 4) + 15     |use distributive property

2n = (3)(n) + (3)(4) + 15

2n = 3n + 12 + 15

2n = 3n + 27    |subtract 3n from both sides

-n = 27      |change the signs

n = -27

n + 2 = -27 + 2 = -25

n + 4 = -27 + 4 = -23

Answer: -27, -25, -23.