Understanding the Equation
To solve the equation 20p/3 = 40p, we start by simplifying both sides.
Step 1: Isolate the variable
- We want to get all terms involving p on one side of the equation.
- Multiply both sides by 3 to eliminate the fraction:
- 20p = 120p
Step 2: Rearranging the terms
- Next, we move 120p to the left side by subtracting it from both sides:
- 20p - 120p = 0
- This simplifies to:
- -100p = 0
Step 3: Solve for p
- To isolate p, divide both sides by -100:
- p = 0
Conclusion
The solution to the equation 20p/3 = 40p is p = 0.
Key Points
- Equations often require isolating the variable to find its value.
- Multiplying by a common denominator helps simplify fractions.
- Rearranging terms is crucial for isolating the variable effectively.
- The final result indicates that the variable p equals zero, which is a valid solution.
This methodical approach to solving equations can be applied to various mathematical problems, enhancing your problem-solving skills for exams like UPSC.