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The challenge requires determining a three-digit number based on three specific constraints: the number must be between 600 and 800, its digits must sum to exactly 15, and the number itself must be even. The document includes a student worksheet section and a teacher-oriented answer key that lists all valid mathematical combinations while providing an additional challenge by identifying numbers that cannot be formed using a single set of digit cards, thereby encouraging deeper critical thinking and attention to detail. 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Find all possibilities.  \nName Date  \nFIND THE 3 DIGITS! ANSWERS  \nTyger Salamander has stolen 3 digits from the pack of digit cards.  \nHe tells them:  \n• My number is more than 600 but less than 800.  \n• The 3 digits add up to 15.  \n• My number is even.  \nWhat 3 digit number could he have made?  \nThe 3 digit numbers he could have made are:  \n618 ~~636~~ 654 672 690 708 726 ~~744~~ 762 780  \nHowever, you can’t make 636 or 744 from one pack of digit cards (as there is only one of each digit), so extra points for spotting that!","cbCaionTEctw1Sli","https://ap.wps.com/l/cbCaionTEctw1Sli","pdf",178284,"English","# Challenge Overview\n## Problem Constraints\n## Solutions and Explanation","[{\"question\":\"What are the three rules for the mystery number?\",\"answer\":\"The number must be between 600 and 800, its three digits must add up to 15, and the number must be even.\"},{\"question\":\"Why are 636 and 744 excluded from the final list of answers?\",\"answer\":\"They are excluded because a single pack of digit cards only contains one of each digit, making it impossible to form numbers with repeating digits.\"},{\"question\":\"What is the range of possible three-digit numbers?\",\"answer\":\"The possible numbers must fall within the range of more than 600 but less than 800, meaning they start with 6 or 7.\"}]","Find the 3 Digits - Math Problem Exercise | PDF",1792675740]