In an election, two contestants A and B contested. X% of the total voters voted for A and (x+20)% for B. if 20% of the voters did not vote, then find x.

Options

A. 30
B. 25
C. 40
D. 35

Explanation

To solve the problem, we need to find the value of \( x \) given the voting percentages for contestants A and B and the percentage of voters who did not vote.

### Step-by-Step Solution:

1. **Understanding the Voting Percentages**:
- Let the total percentage of voters be 100%.
- \( x\% \) of the total voters voted for contestant A.
- \( (x + 20)\% \) of the total voters voted for contestant B.
- It is given that 20% of the voters did not vote.

2. **Setting Up the Equation**:
- Since 20% did not vote, the percentage of voters who voted (for A or B) is:
\[ 100\% - 20\% = 80\% \]
- Therefore, the total percentage of voters who voted for A and B can be expressed as:
\[ x + (x + 20) = 80 \]

3. **Simplifying the Equation**:
- Combine the terms:
\[ 2x + 20 = 80 \]

4. **Isolating \( x \)**:
- Subtract 20 from both sides:
\[ 2x = 80 - 20 \]
\[ 2x = 60 \]
- Now, divide both sides by 2:
\[ x = \frac{60}{2} = 30 \]

5. **Conclusion**:
- The value of \( x \) is 30.

### Final Answer:
\[ x = 30 \]