Answer
The numbers are 51, 53 and 55.
Work Step by Step
Let n represent the first number; then, n + 2 represents the next odd number, and n + 4 the next odd number. Because their sum is 159, we can set up and solve the following equation:
n + n + 2 + n + 4 = 159
3n + 6 = 159
Subtract 6 from both sides
3n = 153
Divide both sides by 3
n = 51
If n = 51, then n + 2 = 53, and n + 4 = 55
So, the numbers are 51, 53 and 55.
