The sum of 5 odd consecutive numbers is 145

The sum of 5 odd consecutive numbers is 145.

Let the first odd number be n. We have the other 4 odd numbers denoted as:

• n + 2
• n + 4
• n + 6
• n + 8

Add them all together
n + (n + 2) + (n + 4) + (n + 6) + (n + 8)

The sum of the 5 odd consecutive numbers equals 145
n + (n + 2) + (n + 4) + (n + 6) + (n + 8) = 145

Combine like terms:
5n + 20 = 145

Using our equation solver, we get n = 25. Using our other 4 consecutive odd numbers above, we get:

• 27
• 29
• 31
• 33

Adding the sum up, we get: 25 + 27 + 29 + 31 + 33 = 145.

So our 5 odd consecutive number added to get 145 are {25, 27, 29, 31, 33}.