Willis Pollard
05/27/2024 · Senior High School
b) I started with a number, multiply it by 3, subtract 20 and my result is the number I started with.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let's denote the number you started with as \( x \). According to the problem, you perform the following operations:
1. Multiply it by 3: \( 3x \)
2. Subtract 20: \( 3x - 20 \)
3. The result is equal to the number you started with: \( 3x - 20 = x \)
Now, we can solve the equation:
\[
3x - 20 = x
\]
Subtract \( x \) from both sides:
\[
3x - x - 20 = 0
\]
This simplifies to:
\[
2x - 20 = 0
\]
Next, add 20 to both sides:
\[
2x = 20
\]
Now, divide both sides by 2:
\[
x = 10
\]
So, the number you started with is \( \boxed{10} \).
Quick Answer
The number you started with is 10.
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