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carlos=x
nancy=y
entonces:
x+8+y+8=51
x+y=35
y tambien:
(x-8).(y-8)=84
xy-8x-8y+64=84
xy-8(x+y)=20
si sabemos que x+y=35 entonces reemplazamos
xy-8(35)=20
xy- 280=20
xy=300
entonces de x+y=35
x=35-y
x.y=300
(35-y)y=300
35y-y