3. Three times the result of subtracting a certain number from 7 gives the san answer as adding eleven to the number. Find the number. \( 3 \times(7-x)= \) 4. I think of a number. If I divide the sum of 6 and the number by 3 , the result

Let's solve the first problem step by step. ### Problem 1: **Statement:** Three times the result of subtracting a certain number from 7 gives the same answer as adding eleven to the number. **Let:** - \( x \) be the certain number. **Equation:** From the problem statement, we can set up the equation: \[ 3 \times (7 - x) = x + 11 \] Now, let's solve this equation step by step. 1. **Expand the left side:** \[ 3 \times (7 - x) = 21 - 3x \] So, the equation becomes: \[ 21 - 3x = x + 11 \] 2. **Rearrange the equation:** Add \( 3x \) to both sides: \[ 21 = 4x + 11 \] Now, subtract \( 11 \) from both sides: \[ 21 - 11 = 4x \] This simplifies to: \[ 10 = 4x \] 3. **Solve for \( x \):** Divide both sides by \( 4 \): \[ x = \frac{10}{4} = 2.5 \] ### Conclusion for Problem 1: The certain number is \( 2.5 \). --- ### Problem 2: **Statement:** I think of a number. If I divide the sum of 6 and the number by 3, the result... It seems like the statement is incomplete. However, I can help you set up the equation based on the information provided. **Let:** - \( y \) be the number you think of. **Equation:** If you divide the sum of 6 and the number by 3, it can be expressed as: \[ \frac{6 + y}{3} \] If you provide the result or any additional information, I can help you solve for \( y \). Please complete the statement for the second problem!