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| Math Central | Quandaries & Queries |
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Question from Luke, a student: Ben challenges you to guess his favourite numbers by using the following three clues: -Each number is a four-digit odd number. -Each is a palindrome -The digits of each number add up to 10 -None of the numbers are divisible by 5 |
Luke,
- Ben cannot count! There are four clues.
- If it's a palindrome, that means its digits have the form ABBA
- If ABBA is odd and not divisible by 5, what could A be?
- If A+B+B+A add to 10, what is A+B?
Good Hunting!
RD
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