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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