Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?

Correct answer:

j =  15
m =  12

Step-by-step explanation:

j m=180 j=3+m  j(j3)=180  j (j3)=180 j23j180=0  a=1;b=3;c=180 D=b24ac=3241(180)=729 D>0  j1,2=2ab±D=23±729 j1,2=23±27 j1,2=1.5±13.5 j1=15 j2=12   Factored form of the equation:  (j15)(j+12)=0  j=j1=15

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