Let's solve this step by step! 🎉
1. Imagine you have $n \times n + n$ candies, and you want to share them into $n$ groups equally.
2. The math looks like this:
$$\frac{n \times n + n}{n} = 10$$
3. First, let's split the top part into two groups:
**Box 1:**
Group 1 (n × n):
🍎 🍎 🍎 🍎
(n times n)
Add ➕
**Box 2:**
🍎 🍎 🍎 🍎
(n times n)
Group 2 (n):
🍎 🍎 🍎 🍎
(n)
= Total candies
4. Now, divide all the candies into $n$ groups. When you divide, the $n$ in the denominator cancels out with each term on top:
$$\frac{n \times n}{n} + \frac{n}{n} = 10$$
5. Simplify each part:
$$n + 1 = 10$$
6. Now, subtract 1 from both sides:
$$n = 10 - 1$$
$$n = 9$$
🎯 Great! The number $n$ is 9.
Final answer: $n = 9$🍎 🍎 🍎 🍎
(n)