Pregunta
There are 4 consecutive integers that add up to -334 . Which integers are they? Save answer
Ask by Johnston Stephens. in Kuwait
Dec 09,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The four consecutive integers are -85, -84, -83, and -82.
Solución
Let the four consecutive integers be \( x, x+1, x+2, x+3 \).
The sum of these integers can be expressed as:
\[
x + (x + 1) + (x + 2) + (x + 3) = -334
\]
Simplifying this, we get:
\[
4x + 6 = -334
\]
Now, subtract 6 from both sides:
\[
4x = -334 - 6
\]
\[
4x = -340
\]
Next, divide both sides by 4:
\[
x = -85
\]
Now, we can find the four consecutive integers:
- The first integer: \( x = -85 \)
- The second integer: \( x + 1 = -84 \)
- The third integer: \( x + 2 = -83 \)
- The fourth integer: \( x + 3 = -82 \)
Thus, the four consecutive integers are:
\[
-85, -84, -83, -82
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To find the four consecutive integers that add up to -334, we can represent the integers as: x, x + 1, x + 2, and x + 3. Setting up the equation gives us: x + (x + 1) + (x + 2) + (x + 3) = -334, which simplifies to 4x + 6 = -334. Solving for x, we get 4x = -340, leading to x = -85. Therefore, the four consecutive integers are -85, -84, -83, and -82. Enjoy your math adventure!
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