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| Math Central | Quandaries & Queries |
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Denise, a student: a number has 4 different odd digits. the difference between the greatest digit and the least digit is 6, the number is greater than 2,000 and less than 3,160. what is the number? |
Hi Denise,
Since all 4 digits must be odd, then the number cannot be in the range of 2000 - 2999. So we know that the number must begin with a 3. Since 0 is not an odd number the so the digits cannot be 0. So we know than the number is truly between 3111 - 3159. The odd digits are 1, 3, 5, 7, 9, which ones have a difference of 6 that have not been used?
Hope this helps,
Janice
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