The product of a number and 9 , increased by 4 ; is 58 . Find the number. let \( n= \) the \( \# \)

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.