Question 6
Ted, Bob, Andi and Beti were playing “Guess The Number”. Ted thought of a three-digit number and the others tried to guess it.
- Bob: “I guess your number is 784.”
- Andi: “I think it is 394.”
- Beti: “I think it must be 795.”
Ted replied, “Each of the numbers you said shares two digits in common with mine.” What is the sum of the digits of Ted's number?
Interpretation: “Two digits in common” means exactly two shared digit values, regardless of position.
- Bob: “I guess your number is 784.”
- Andi: “I think it is 394.”
- Beti: “I think it must be 795.”
Ted replied, “Each of the numbers you said shares two digits in common with mine.” What is the sum of the digits of Ted's number?
Interpretation: “Two digits in common” means exactly two shared digit values, regardless of position.