Pregunta
The sum of 3 consecutive odd numbers is 51 . What is the second number in this sequence?
Ask by Martinez Pierce. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
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The second number is 17.
Solución
Let the numbers be represented as x, x + 2, and x + 4. Their sum is given by:
x + (x + 2) + (x + 4) = 51
Simplify the expression:
3x + 6 = 51
Subtract 6 from both sides:
3x = 45
Divide both sides by 3:
x = 15
The three consecutive odd numbers are 15, 17, and 19. Therefore, the second number is 17.
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Simplifique esta solución The Deep Dive
Let's denote the three consecutive odd numbers as \(x\), \(x + 2\), and \(x + 4\). According to the problem, their sum is 51. So, we can set up the equation: \[ x + (x + 2) + (x + 4) = 51 \] Combining like terms gives us: \[ 3x + 6 = 51 \] Now, subtract 6 from both sides: \[ 3x = 45 \] Next, divide both sides by 3: \[ x = 15 \] Thus, the three consecutive odd numbers are 15, 17, and 19. Therefore, the second number in this sequence is 17.
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