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. $$ 3 imes(7-x)= $$ 4. I think of a number. If I divide the sum of 6 and the number by 3 , the result

Question

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. $$ 3 	imes(7-x)= $$ 4. I think of a number. If I divide the sum of 6 and the number by 3 , the result

UpStudy AI · Accepted Answer

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!
**Problem 1:** The certain number is 2.5. **Problem 2:** Cannot determine the number with the given information.

Three times the result of subtracting a certain number from 7 gives the san
answer as adding eleven to the number. Find the number.

I think of a number. If I divide the sum of 6 and the number by 3 , the result

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