Subjects algebra

Consecutive Odd Numbers 086448

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Consecutive Odd Numbers 086448


1. **State the problem:** We need to find the second number in a sequence of 3 consecutive odd numbers whose sum is 183. 2. **Define variables:** Let the first odd number be $x$. Since the numbers are consecutive odd numbers, the second number will be $x+2$ and the third number will be $x+4$. 3. **Write the equation for the sum:** The sum of the three numbers is given as: $$x + (x+2) + (x+4) = 183$$ 4. **Simplify the equation:** $$3x + 6 = 183$$ 5. **Solve for $x$:** $$3x = 183 - 6$$ $$3x = 177$$ $$x = \frac{177}{3} = 59$$ 6. **Find the second number:** The second number is: $$x + 2 = 59 + 2 = 61$$ 7. **Answer:** The second number in the sequence is **61**.