in a class students give chocolates to other students. if no. of chocolates is 132 then find no. of students with explanation
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Let the number of student be x
Then each will give n - 1 chocolate to each other
Total no of chocolates = No of student × no of chocolate per child
n ( n - 1 ) = 132
n² - n = 132
n² - n - 132 = 0
n² - 12n + 11n - 132 = 0
n ( n - 12 ) + 11 ( n - 12 ) = 0
n - 12 = 0
n = 12
Hence there are 12 students
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