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: