SOLUTION: if multiplied a natural number by 18 and another by 21 and added the products. which one among the following could be the sum?? a)2007 b)2008 c)2006 d)2002

Question 860343: if multiplied a natural number by 18 and another by 21 and added the products. which one among the following could be the sum??
a)2007 b)2008 c)2006 d)2002
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
2008, 2006, 2002, are NOT multiples of 3 nor 6, nor 9. Seeing that both of 18 and 31 are multiples of 3, means that 2008, 2006, 2002 cannot result from your multiplication addition description. The first listed number, 2007 is apparantly a possibility. 2007 IS a multiple of 9, meaning it is also a multiple of 3.

You can look further. 2007 is odd, so it is NOT a multiple of 6. I imagine many possible natural numbers will fit your description. The question did not ask it, but a particular two numbers is 3 and 93.
;
you may be able to find other combinations of natural numbers which work.
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