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The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence

User VGE
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2 Answers

5 votes

Answer:

61

Explanation:

n, n + 2, n + 4 - three consecutive odd numbers

183 - sum

The equation:

n + (n + 2) + (n + 4) = 183 combine like terms

(n + n + n) + (2 + 4) = 183

3n + 6 = 183 subtract 6 from both sides

3n = 177 divide both sides by 3

n = 59

The second number: n + 2 = 59 + 2 = 61

User Justin Grant
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4 votes

We use the equation
x-2+x+x+2 = 183 where x is the middle odd number. This can be simplified to simply
3x, meaning we need to divide 183 by 3 to find x. This comes to 61.

The answer is 61.

User Vombat
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7.7k points

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