Tricky Quadratic Word Problem on the ACT SAT MATH Section

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At Groton High, Valentine’s Day is taken very seriously. Students in each class must send a valentine to all the other classmates. In a particular class, there are 72 valentines in total. How many students are in the class?
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We can directly figure out 72 as 9*8
Since 9-1=8 so 9(9-1)=72 so n=9

mikulramesh