Question
The product of a number and 9 , increased by 4 ; is 58 . Find the number. let \( n= \) the \( \# \)
Ask by Wright Phillips. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 6.
Solution
Let's break down the problem step by step.
1. **Identify the known conditions:**
- We have a number \( n \).
- The product of this number and 9 is \( 9n \).
- This product is increased by 4, which gives us \( 9n + 4 \).
- This expression equals 58.
2. **Set up the equation:**
We can write the equation based on the information given:
\[
9n + 4 = 58
\]
3. **Solve the equation step by step:**
- First, we will subtract 4 from both sides of the equation:
\[
9n = 58 - 4
\]
\[
9n = 54
\]
- Next, we will divide both sides by 9 to isolate \( n \):
\[
n = \frac{54}{9}
\]
\[
n = 6
\]
4. **Conclusion:**
The number \( n \) is 6.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To solve the equation, you start with the expression: \( 9n + 4 = 58 \). First, you subtract 4 from both sides to simplify it down to \( 9n = 54 \). Then, divide both sides by 9, leading you to \( n = 6 \). So, the number you're looking for is 6! If you plug 6 back into the original equation, you'll see that it checks out: \( 9 \times 6 + 4 = 54 + 4 = 58 \). It's always a good idea to verify your solutions, as it builds confidence in your problem-solving skills!
