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How many 2-digit numbers are multiples of 2 but not 3?

 Apr 26, 2020
 #1
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Solution: 38

Work: The even numbers that are 2-digit are 10, 12, 14, ..., 98.

The even numbers that are multiples of 3 and even are multiples of 6: 12, 18, 24, ..., 96.

There are 5, 6, 7, ..., 49=44 2-digit even numbers and

2, 3, 4, ..., 16= 15 multiples of 6 that are 2 digit.

44-6=38 2-digit numbers that are multiples of 2, but not 3.

 Apr 26, 2020
 #2
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Solution: 30

Work: The even numbers that are 2-digit are 10, 12, 14, ..., 98.

The even numbers that are multiples of 3 and even are multiples of 6: 12, 18, 24, ..., 96.

There are 5, 6, 7, ..., 49=45 2-digit even numbers and

2, 3, 4, ..., 16= 15 multiples of 6 that are 2 digit.

45-15=30 2-digit numbers that are multiples of 2, but not 3.

 

I think the Guest that answered got everything correct except for what I corrected.

Guest Apr 26, 2020
edited by Guest  Apr 26, 2020

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