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In Mathematics / High School | 2014-05-20

The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers?

Please write an equation and show all work.

Asked by WillaMclee

Answer (2)

To find the smallest of three consecutive odd numbers, we can set up an equation. Let x be the smallest number.
Then the three consecutive odd numbers would be x, x + 2, and x + 4.
We know that the sum of these three numbers is 111, so we can write the equation: x + (x + 2) + (x + 4) = 111.
Simplifying the equation, we get 3x + 6 = 111.
Subtracting 6 from both sides, we have 3x = 105.
Finally, dividing both sides by 3, we find that x = 35.
Therefore, the smallest of the three consecutive odd numbers is 35.

Answered by qwarrow | 2024-06-18

To find the smallest of three consecutive odd numbers that add up to 111, we set up the equation x + ( x + 2 ) + ( x + 4 ) = 111 . Simplifying gives x = 35 , making 35 the smallest number. Therefore, the smallest number is 35.
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Answered by qwarrow | 2025-01-02