Two candidates contested an election. One of them got 64\% of the votes and won by 434 votes. What was the total number of votes polled?

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**Solution:**

1. Let the total number of votes be *x*.

2. Votes received by the winning candidate = $ \frac{64x}{100} $.

3. Votes received by the other candidate = $ x - \frac{64x}{100} = \frac{36x}{100} $.

4. The winning margin is given as 434 votes, so:

$$
   \frac{64x}{100} - \frac{36x}{100} = 434
   $$

5. Simplify the equation:

$$
   \frac{28x}{100} = 434
   $$

6. Multiply both sides by 100:

$$
   28x = 434 \times 100 = 43400
   $$

7. Divide both sides by 28:

$$
   x = \frac{43400}{28} = 1550
   $$

**Answer:** The total number of votes polled is $ 1550 $.

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