2019 AIME II Problems/Problem 3

Revision as of 14:54, 22 March 2019 by Thothdragonfly2 (talk | contribs)

Find the number of $7$-tuples of positive integers $(a,b,c,d,e,f,g)$ that satisfy the following systems of equations: \begin{align*} abc&=70,\\ cde&=71,\\ efg&=72. \end{align*}