SOLUTION: I am a 3-digit number less than 300. I am divisible by 2 and 5, but not 3. The sum of my digits is 7. What number am I?

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Question 451291: I am a 3-digit number less than 300. I am divisible by 2 and 5, but not 3. The sum of my digits is 7. What number am I?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the number is "divisible by 2 and 5", this means that the number is divisible by 10 (since 2*5 = 10). So the number ends with a 0.


So the possible numbers are:

100, 110, 120, 130, 140, 150, 160, 170, 180, 190,
200, 210, 220, 230, 240, 250, 260, 270, 280, 290


Now add up the digits of each possible number. The digits that add to 7 will give us the number. It turns out that 160 and 250 fit this description since 1+6+0=7 and 2+5+0=7


So the numbers are 160 and 250.