2. Clare asks Andre to play the following number puzzle: . Pick a number - Add 2 - Multiply by 3 - Subtract 7 - Add your original number Andre's final result is 27 . Which number did he start with?

Let's break down the puzzle using algebra! Let’s say the number Andre picked is \( x \). Following Clare's instructions, we have: 1. Pick a number: \( x \) 2. Add 2: \( x + 2 \) 3. Multiply by 3: \( 3(x + 2) = 3x + 6 \) 4. Subtract 7: \( 3x + 6 - 7 = 3x - 1 \) 5. Add your original number: \( 3x - 1 + x = 4x - 1 \) Since we know the final result is 27, we set up the equation: \[ 4x - 1 = 27 \] Solving for \( x \): \[ 4x = 28 \] \[ x = 7 \] So, Andre started with the number 7! For an extra sprinkle of fun, did you know that simple algebra puzzles like this have been used in various cultures to teach math concepts? They not only sharpen minds but can also make you a social magnet during game nights! And speaking of game nights, keep in mind that understanding logic and patterns in numbers can help you become an ace at card games or puzzles, enhancing both your strategic thinking and number sense! Plus, it can only impress your friends when you unveil your newfound mathematical skills!