Question 134726
120/X=120/(X+2)+2
120/X=(120+2[X+2])/X+2
120(X+2)=X(120+2X+4)
120X+240=120X+2X^2+4X
2X^2+120X-120X+4X-240=0
2X^2+4X-240=0
2(X^2+2X-120)=0
2(X-10)(X+12)=0
X-10=0
X=10 ANSWER FOR THE ORIGINAL NUMBER OF STUDENTS.
10+212 THE FINAL NUMBER OF STUDENTS.
PROOF
120/10=120/12+2
12=10+2
12=12