Question
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A mystery number doubled is 64 .

Ask by Chadwick Horton. in Canada
Jan 24,2025

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Tutor-Verified Answer

Answer

The mystery number is 32.

Solution

Let's solve the problem step by step. **Problem Statement:** A mystery number doubled is 64. **Let’s break it down:** 1. **Define the Mystery Number:** - Let the mystery number be represented by \( x \). 2. **Express the Given Information as an Equation:** - "Doubled" means multiplied by 2. - So, doubling the mystery number gives: \( 2x \). - According to the problem, this is equal to 64. - Therefore, the equation is: \[ 2x = 64 \] 3. **Solve for \( x \):** - To find the value of \( x \), divide both sides of the equation by 2: \[ x = \frac{64}{2} \] - Simplifying this: \[ x = 32 \] **Answer:** The mystery number is **32**.

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Mind Expander

To find the mystery number, think of it as a puzzle. If doubling it gives you 64, you simply kick things back a gear by dividing that number in half. So, 64 divided by 2 equals 32! Voilà, the mystery number is 32! This concept of doubling is foundational in algebra. It's like the secret handshake of math! It helps us understand relationships and solve more complex equations. Plus, it's a handy trick in everyday life—think cooking where measurements need adjusting, or budgeting when determining income and expenses!

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