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: | ||
| − | + | \begin{align*} | |
abc&=70,\\ | abc&=70,\\ | ||
cde&=71,\\ | cde&=71,\\ | ||
efg&=72. | efg&=72. | ||
| − | \end{align*} | + | \end{align*} |
Revision as of 14:54, 22 March 2019
Find the number of 
-tuples of positive integers 
that satisfy the following systems of equations:
\begin{align*}
abc&=70,\\
cde&=71,\\
efg&=72.
\end{align*}
