What should replace the question mark (?) in the following equation? Find the approximate value:

$$39.05 imes 14.95 - 27.99 imes 10.12 = (36.01 + ?) imes 4.98$$

Question

What should replace the question mark (?) in the following equation? Find the approximate value:

$$39.05 	imes 14.95 - 27.99 	imes 10.12 = (36.01 + ?) 	imes 4.98$$

Accepted Answer

**Solution:**

1. First, approximate the values for easier calculation:
   - $39.05 \approx 39$
   - $14.95 \approx 15$
   - $27.99 \approx 28$
   - $10.12 \approx 10$
   - $36.01 \approx 36$
   - $4.98 \approx 5$

2. Calculate the left side:
   - $39 	imes 15 = 585$
   - $28 	imes 10 = 280$
   - Difference: $585 - 280 = 305$

3. Let the unknown be $x$. The right side is:
   $$ (36 + x) 	imes 5 = 305 $$

4. Divide both sides by 5:
   $$ 36 + x = \frac{305}{5} = 61 $$

5. Solve for $x$:
   $$ x = 61 - 36 = 25 $$

**Answer:** $25$

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