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*} | + | <math>\begin{align*} |
abc&=70,\\ | abc&=70,\\ | ||
cde&=71,\\ | cde&=71,\\ | ||
efg&=72. | efg&=72. | ||
− | \end{align*} | + | \end{align*}</math> |
Revision as of 15:53, 22 March 2019
Find the number of -tuples of positive integers
that satisfy the following systems of equations:
$\begin{align*}
abc&=70,\\
cde&=71,\\
efg&=72.
\end{align*}$ (Error compiling LaTeX. ! Package amsmath Error: \begin{align*} allowed only in paragraph mode.)