# JEE Novice - (5)

Number Theory Level 3

$\Large \begin{cases} abcd & = & 8! \\ ab+a+b+1 & = & 323 \\ bc+b+c+1 & = & 399 \end{cases}$

If four distinct positive integers $$a,b,c,d$$ satisfy the system above then find the value of $$d$$.

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