Question

300 apples are distributed equally among a certian students lambda . Had there been 10 students more , each would have recieved one apple less . Find the number od students . ( You can take students also x,y,z etc

Answer 1

no of students = s
no of apples = 300
so 
   no of apples per student = 300/s = y 
                                       sy = 300    - (i)
     case 2 
          300/(s+10) = y -1
          300 = (s+10)(y-1)
          300 = sy - s + 10y - 10
          300 = 300 - s + 10y - 10               - from eq (i)
         s = 10y -10             - (ii)
           substituting eq (ii) in (i)
         300 = (10y-10)y
         300 = 10y² -10y
         30 = y² - y
         y² - y - 30 = 0
        y² -  6y + 5y - 30 = 0
       y(y-6) + 5(y-6) = 0
      (y+5)(y-6)
       y = -5 or + 6
       no of student = 300/6 = 50