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What approximate value will come in plac...

What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate the exact value.)
`55.01-345.02div22.99=2xx?`

A

20

B

25

C

22

D

15

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 55.01 - \frac{345.02}{22.99} = 2 \times ? \), we will approximate the values involved to simplify the calculations. ### Step-by-Step Solution: 1. **Approximate the values:** - Approximate \( 55.01 \) to \( 55 \). - Approximate \( 345.02 \) to \( 345 \). - Approximate \( 22.99 \) to \( 23 \). 2. **Rewrite the equation with approximations:** \[ 55 - \frac{345}{23} = 2 \times ? \] 3. **Calculate \( \frac{345}{23} \):** - To simplify \( \frac{345}{23} \), we can estimate it. - \( 23 \) is close to \( 20 \), and \( 345 \) is close to \( 340 \). - \( \frac{340}{20} = 17 \) (This is a rough estimate). 4. **Substitute the approximate division result back into the equation:** \[ 55 - 15 \approx 2 \times ? \] 5. **Calculate \( 55 - 15 \):** \[ 55 - 15 = 40 \] 6. **Set up the equation:** \[ 40 = 2 \times ? \] 7. **Solve for \( ? \):** \[ ? = \frac{40}{2} = 20 \] ### Final Answer: The approximate value that will come in place of the question mark (?) is **20**.
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