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2007 AMC 8 Question 18

AMC8 · 2007 AMC 8

Question 18

The product of the two $99$-digit numbers $$
303,030,303,\ldots,030,303
$$ and $$
505,050,505,\ldots,050,505
$$ has thousands digit $A$ and units digit $B.$ What is $A+B?$
  1. $3$
  2. $5$
  3. $6$
  4. $8$
  5. $10$