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What is the sum ofthe greatest three digit number and the smallest four digit number such that their HCF is 23?
Greatest Three-digit number divisible by 23
then number = $$23\times 43$$ = 989
Smallest four-digit number divisible by 23
then number = $$23\times 44 $$= 1012
so total = 989 + 1012
= 2001Ans
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