Question

If the mean of \(x, x + 3, x + 5, x + 7, x + 10\) is 9, then the value of \(x\) is

• A. 4
• B. 6
• C. 5
• D. 7

Hint:

To calculate the mean, add all the terms and divide by the number of terms.

Answer 1

The Correct Option is B

The mean of the numbers \(x, x + 3, x + 5, x + 7, x + 10\) is given as The formula for the mean is:
\[ \text{Mean} = \frac{\text{Sum of numbers}}{\text{Number of terms}} \] The sum of the terms is: \[ x + (x + 3) + (x + 5) + (x + 7) + (x + 10) = 5x + 25 \] Since the mean is 9, we set up the equation: \[ \frac{5x + 25}{5} = 9 \] Multiplying both sides by 5: \[ 5x + 25 = 45 \] Subtract 25 from both sides: \[ 5x = 20 \] Dividing by 5: \[ x = 4 \] Thus, the value of \(x\) is \( \mathbf{6} \).