Difference between revisions of "2019 AIME II Problems/Problem 3"

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

Revision as of 14:54, 22 March 2019

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*}

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