TED-Ed: Can you solve the passcode riddle? - Ganesh Pai

In a fictional scenario, a group is captured and must solve a logic puzzle to escape. Zara, known for her logical reasoning, is chosen to solve the puzzle. She receives three clues: the product of three numbers is 36, their sum matches the hallway number, and the largest number is unique. By process of elimination, the correct combination is determined to be 2, 2, 9, allowing Zara to escape. The group uses this information to escape as well, highlighting the power of logic and math.

What challenge must Zara complete to escape?

What is the product of the three numbers in the code?

What does the second clue reveal about the sum of the numbers?

How do you determine which combination of numbers is correct?

What unique property does the largest number in the combination have?