Question

\( P, Q, R \) are three consecutive odd numbers in ascending order. If the value of three times \( P \) is three less than two times \( R \), find the value of \( R \).

• A. 5
• B. 7
• C. 9
• D. 11

Hint:

Use variables to express the sequence, convert the word condition into an equation, and solve step-by-step to avoid mistakes.

Answer 1

The Correct Option is C

Let the three consecutive odd numbers in ascending order be:
\( P = x \)
\( Q = x + 2 \)
\( R = x + 4 \)
\medskip We are given that three times \( P \) is three less than two times \( R \).
Translate this into an equation: \[ 3P = 2R - 3 \Rightarrow 3x = 2(x + 4) - 3 \] \medskip Now solve step-by-step: \[ 3x = 2x + 8 - 3 = 2x + 5
3x - 2x = 5 \Rightarrow x = 5 \] \medskip So, the three consecutive odd numbers are: \[ P = 5,\quad Q = 7,\quad R = 9 \] \[ {R = 9} \]