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The problem states:

"If \( \frac{2}{3} \) of a number is 20 less than the original number, what is the original number?"

Let's denote the unknown original number as \( x \).

According to the problem, \( \frac{2}{3} \) of this number is 20 less than the number itself. This gives the equation:

\[
\frac{2}{3}x = x - 20
\]

### Step-by-Step Solution:
1. Start with the equation:
   \[
   \frac{2}{3}x = x - 20
   \]

2. To eliminate the fraction, multiply both sides of the equation by 3:
   \[
   3 \times \frac{2}{3}x = 3 \times (x - 20)
   \]
   This simplifies to:
   \[
  

If 2/3 of a number is 20 less than the original number, what is the original number?

Learn how to solve the algebraic equation where 2/3 of a number is 20 less than the original number. This step-by-step guide is perfect for students in Grades 6-8, covering key algebraic concepts and linear equations.

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