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Find a number $x<100$ for which all three statements are true:

  • When $x$ is divided by $3$, the remainder is $2$.
  • When $x$ is divided by $4$, the remainder is $3$.
  • When $x$ is divided by $5$, the remainder is $4$.
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    Your number (possible positive) satisfies $x\equiv 2 \pmod 3$, $x\equiv 3 \pmod 4$ and $x\equiv 4 \pmod 5$.2012-10-24

3 Answers 3