1. The problem states: "A number is divided by 6, then 2 is added, and the result is 10." We need to find the correct equation representing this. 2. The operation "divided by 6" means the number $x$ is divided by 6, written as $\frac{x}{6}$. 3. Then 2 is added to this result, so the expression becomes $\frac{x}{6} + 2$. 4. The final result equals 10, so the equation is: $$\frac{x}{6} + 2 = 10$$ 5. Comparing with the options, this matches option A. 6. Therefore, the correct equation is option A: $\frac{x}{6} + 2 = 10$. Final answer: A. $\frac{x}{6} + 2 = 10$