Question
5. "Twenty-seven less than twice a number is -1. ."
Ask by Mejia Welch. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
El número es 13.
Solution
Para resolver el problema:
**"Veintisiete menos que el doble de un número es -1."**
Seguimos los siguientes pasos:
1. **Definir la variable:**
- Sea \( x \) el número desconocido.
2. **Traducir la frase a una ecuación matemática:**
- "El doble de un número" se expresa como \( 2x \).
- "Veintisiete menos que el doble de un número" se escribe como \( 2x - 27 \).
- "Es -1" se traduce como \( 2x - 27 = -1 \).
Entonces, la ecuación es:
\[
2x - 27 = -1
\]
3. **Resolver la ecuación:**
\[
2x - 27 = -1
\]
Sumamos 27 a ambos lados de la ecuación:
\[
2x = -1 + 27
\]
\[
2x = 26
\]
Dividimos ambos lados entre 2:
\[
x = \frac{26}{2}
\]
\[
x = 13
\]
**Respuesta:** El número es **13**.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To solve the equation described, we can represent the unknown number as \( x \). The phrase "twenty-seven less than twice a number" translates to \( 2x - 27 = -1 \). If we add 27 to both sides, we get \( 2x = 26 \). Dividing both sides by 2, we find \( x = 13 \). Suddenly, solving equations feels like cracking a secret code, doesn't it? Now, once you get the hang of solving equations like these, you can apply similar strategies to real-life situations. For instance, if you want to figure out how much money you'll need after buying groceries, you can set up an equation based on your budget. This not only boosts your math skills but makes budgeting a lot more fun and interactive!
