# How many number?

Number Theory Level pending

if $$x_{1}$$={$$24n : n$$ integer} , $$x_{2}$$={$$18n: n$$ integer}  $$x_{3}$$={$$a+b$$ : $$a$$ $$\in x_{1}$$ , $$b$$ $$\in x_{2}$$} then the number of $$x_{3}$$ elements which exist between $$1000$$ and $$9999$$ is

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