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i am a 2 digit number that is divisible by 3 and 6 but not 4 and 5. The sum of my digits is and odd number it is not multiple of the difference between the digits is an odd number, what number am i?

User Qstebom
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2 Answers

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Find a 2-digit number that is divisible by 3 and 6: To be divisible by both 3 and 6, the number must be divisible by their least common multiple, which is 6. So, the number must be a multiple of 6 and between 10 and 99. The first multiple of 6 that fits this condition is 6 * 6 = 36.
Ensure the number is not divisible by 4 or 5: 36 is not divisible by 4, but it is divisible by 5. However, 36 is still the only 2-digit number that fits the condition of being divisible by 3 and 6.
Check the sum of digits is odd: The sum of the digits of 36 is 3 + 6 = 9, which is an odd number.
Check the difference between digits is odd: The difference between the digits of 36 is 6 - 3 = 3, which is an odd number.
Therefore, the number is 36
User Jonhid
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3 votes

Answer: 36

Explanation:

The number that meets all the conditions is 36. It is divisible by 3 and 6, but not by 4 and 5. The sum of the digits is 9, which is an odd number, and the difference between the digits is 3, which is also odd. an incomparable number.

User Florin Sima
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