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9) The sum of three consecutive numbers is 39. What is the smallest of these numbers?

Pergunta

9) The sum of three consecutive numbers is 39.
What is the smallest of these numbers?

9) The sum of three consecutive numbers is 39. What is the smallest of these numbers?

Solução

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FernandoProfissional · Tutor por 6 anos

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The smallest of these numbers is 12.

Explicação

## Step 1<br />Let's denote the three consecutive numbers as \(x\), \(x+1\), and \(x+2\). The sum of these three numbers is given as 39. Therefore, we can write the equation as:<br />### \(x + (x+1) + (x+2) = 39\)<br />## Step 2<br />Next, we simplify the equation by combining like terms:<br />### \(3x + 3 = 39\)<br />## Step 3<br />To isolate the term with \(x\), we subtract 3 from both sides of the equation:<br />### \(3x = 36\)<br />## Step 4<br />Finally, we solve for \(x\) by dividing both sides of the equation by 3:<br />### \(x = 12\)
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