Question

If the sum of five odd consecutive integers is 295. What is the middle integer?

Answer 1

59

Explanation:

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

The equation:

(n - 4) + (n - 2) + n + (n + 2) + (n + 4) = 295 combine like terms

(n + n + n + n + n) + (-4 - 2 + 2 + 4) = 295

5n = 295 divide both sides by 5

n = 59