Find two consecutive odd integers whose sum is 116

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1. Set up the equation based on the problem statement:
x + (x + 2) = 116
2. Simplify by combining like terms:
2x + 2 = 116
3. Subtract 2 from both sides:
2x = 114
4. Divide both sides by 2 to solve for \( x \):
x = 57
5. The first odd integer is 57, the next consecutive odd integer is:
x + 2 = 59

Therefore, the two consecutive odd integers are \( x = 57 \) and \( x + 2 = 59 \).