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IMAS 2020–2021 Junior Division — First Round Question 18

IMAS · IMAS 2020–2021 Junior Division — First Round

Question 18

How many pairs of positive integers $(a,b)$, where $a\lt b$, are there which satisfies the expression $\frac1a+\frac1b=0.3$?
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. infinity