SOLUTION: this two-digit nunber is less than 100. the number is even. the number has 2, 3, and 4 as factors. the number is more than a dozen. the sum of the digits is 6. what is the num

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Question 215531: this two-digit nunber is less than 100.
the number is even.
the number has 2, 3, and 4 as factors.
the number is more than a dozen.
the sum of the digits is 6.
what is the number?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
the number has 2, 3, and 4 as factors. --> the number is a multiple of 2%2A3%2A4+=+12
this two-digit number is less than 100. You could do a lot of math, but since there are not that many multiples of 12 that are less than 100, it is easiest to just get that list. 12, 24, 36, 48, 60, 72, 84, 96
the number is more than a dozen. --> 24, 36, 48, 60, 72, 84, 96
the sum of the digits is 6. --> 24 and 60
So there are two numbers that work