IF THE NO.OF STUDENTS IN ONE ROW INCREASES BY 4 THE NO OF ROWS DECREASES BY 2. IF THE NO OF STUDENTS IN ONE ROW DECREASES BY 4, THE NO OF ROWS INCREASES BY 4. FIND THE TOTAL NO .OF STUDENTS
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Step-by-step explanation:
let the number of original rows and columns be x and y respectively then the total number of students is xy and it doesn't change
(x+4)(y-2)=xy
4y-2x +xy -8=xy
4y-2x=8 or
x=2y-4
(x-4)(y+4)=xy
4x-4y-16=0. (xy cancel on both sides)
x=y+4
2y-4=y+4
y=8 & x=12
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