Question

If the mean of \(x+2, 2x+3, 4x+5, 5x+2\) is 18, then the value of \(x\) is

• A. 5
• B. 6
• C. 3
• D. 15

Hint:

Double-check simplification; group like terms before solving mean equations.

Answer 1

The Correct Option is B

Step 1: Write mean formula.
\[ \frac{(x+2)+(2x+3)+(4x+5)+(5x+2)}{4}=18 \]
Step 2: Simplify numerator.
\(x+2+2x+3+4x+5+5x+2=12x+12\).
Step 3: Equation.
\(\frac{12x+12}{4}=18 \Rightarrow 12x+12=72 \Rightarrow x=5.\)
Wait—actually value is 5, so correct answer is (1).