"Trm thinking of a number. If you add half of this number to a sixth of this number, you will get 12. What is the number?" Equation: Answor:

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**Problem Statement:**
"Trm thinking of a number. If you add half of this number to a sixth of this number, you will get 12. What is the number?"

*Assuming "Trm" is a typo and should be "I'm".*

**Let’s define the unknown:**
Let the number be **$$ x $$**.

**Set up the equation:**
$$
\frac{1}{2}x + \frac{1}{6}x = 12
$$

**Solve the equation:**

1. **Find a common denominator** for the fractions to combine them. The least common denominator (LCD) of 2 and 6 is 6.
   
2. **Rewrite the fractions with the LCD:**
   $$
   \frac{3}{6}x + \frac{1}{6}x = 12
   $$
   
3. **Combine like terms:**
   $$
   \frac{4}{6}x = 12
   $$
   
4. **Simplify the fraction:**
   $$
   \frac{2}{3}x = 12
   $$
   
5. **Solve for $$ x $$:**
   $$
   x = 12 \times \frac{3}{2} = 18
   $$

**Answer:**
The number is **18**.
The number is 18.

"Trm thinking of a number. If you add half of this number to a sixth of this number, you will get 12. What is the number?" Equation: Answor:

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