SOLUTION: How many multiples of 3 less than 1000 can be formed from the digits 2, 5, 9?

Question 231924: How many multiples of 3 less than 1000 can be formed from the digits 2, 5, 9?
Found 2 solutions by jsmallt9, Alan3354:
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The keys to this problem are to understand that
Multiples of three are divisible by three.
Numbers are divisible by three if the sum of the digits of the number is divisible by three. For example, 104,652 is divisible by three becuase the digits add up to 18 (1+0+4+6+5+2 = 18) which is divisible by three.

So we a looking for numbers less than 1000 whose digits are 2, 5 or 9 and whose digits add up to a number divisible be 3.

One digit numbers: 9:
Two digit numbers: 99
Three digit numbers: 222, 555, 999, 225, 252, 522

I don't think there are any others.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Add 525 and 552 to the other list.
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