If a number is tripled and the result is increased by 5, we get 50. Find the number.

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the variable
Let the unknown number be represented by \( x \).

### Step 2: Set up the equation
According to the problem, if the number is tripled, we get \( 3x \). Then, if we increase this result by 5, we have:
\[ 3x + 5 = 50 \]

### Step 3: Isolate the term with the variable
To find \( x \), we first need to isolate the term \( 3x \). We can do this by subtracting 5 from both sides of the equation:
\[ 3x + 5 - 5 = 50 - 5 \]
This simplifies to:
\[ 3x = 45 \]

### Step 4: Solve for \( x \)
Now, we need to solve for \( x \) by dividing both sides of the equation by 3:
\[ x = \frac{45}{3} \]
This gives us:
\[ x = 15 \]

### Step 5: Conclusion
The number we are looking for is \( 15 \).