Question

P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R?

• A. 7
• B. 11
• C. 33
• D. 9
• E. 5

Hint:

Represent consecutive odd numbers as $x, x+2, x+4$ and set up the equation.

Answer 1

The Correct Option is D

Step 1: Let the three consecutive odd numbers be $P = x$, $Q = x+2$, $R = x+4$.
Step 2: Given: $3P = 2R - 3 \implies 3x = 2(x+4) - 3 = 2x + 8 - 3 = 2x + 5$.
Step 3: $3x - 2x = 5 \implies x = 5$.
Step 4: Then $R = x + 4 = 9$.
Step 5: Final Answer: 9.