Hannah and Frankie think of the same number. Hannah divides her number by 7 and then adds 3. Her answer is 6. Frankie subtracts 9 and then Adds 5. Her final answer is x. Find Frankie's final answer, x.

Let's solve this step by step:

### Hannah's process:
- Let the number be \( n \).
- According to the problem, Hannah divides her number by 7 and then adds 3:
  \[
  \frac{n}{7} + 3 = 6
  \]
- Solving for \( n \):
  \[
  \frac{n}{7} = 6 - 3
  \]
  \[
  \frac{n}{7} = 3
  \]
  \[
  n = 3 \times 7 = 21
  \]

So, the number \( n \) is 21.

### Frankie's process:
- Frankie starts with the same number \( n = 21 \).
- Frankie subtracts 9 from the number:
  \[
  21 - 9 = 12
  \]
- Then Frankie adds 5:
  \[
  12 + 5 = 17
  \]

So, Frankie's final answer is \( x = 17 \).

### Final Answer:
\[
x = 17
\]

Would you like further details or clarifications?

Here are 5 related questions to further explore this type of problem:
1. What if Hannah had divided her number by 5 and added 4 instead?
2. How would the solution change if Frankie had multiplied her number by 2 before adding 5?
3. What if both Hannah and Frankie started with a different number, say 35?
4. How could you express both Hannah's and Frankie's processes as a system of equations?
5. Can you think of other operations Hannah and Frankie could perform to get the same final result?

**Tip:** When solving problems with multiple steps, break each step down to keep the solution organized and clear.

Hannah and Frankie think of the same number. Hannah divides her number by 7 and then adds 3. Her answer is 6. Frankie subtracts 9 and then adds 5. Her final answer is x. Find Frankie's final answer, x.

This problem explores solving a linear equation where Hannah divides her number by 7, adds 3, and gets 6. Frankie subtracts 9 and then adds 5. Learn how to find Frankie's final answer, x, step by step. Ideal for Grades 5-7 students learning algebra and arithmetic.

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