babcia i dziadek maha w sumie 140 lat. dziadek ma 2 razy tyle lat, ile babcia muala wtedy, kiedy dziadek mial tyle, ile babcia ma teraz. ile lat ma babcia, a ile dziadek?​



Odpowiedź :

x - wiek dziadka teraz

y - wiek babci teraz

[tex]\left \{ {{x+y=140} \atop {x=2(y-(x-y))}} \right. \\\left \{ {{x+y=140} \atop {x=2(y-x+y)} \right. \\\left \{ {{x+y=140} \atop {x=2(2y-x)}} \right. \\\left \{ {{x+y=140} \atop {x=4y-2x/+2x}} \right. \\\left \{ {{x+y=140} \atop {3x=4y/:3}} \right. \\\left \{ {{x+y=140 \atop {x=\frac43y}} \right. \\\left \{ {\frac43y+y=140} \atop {x=\frac43y}} \right.\\\left \{ {{\frac73y=140 /*3} \atop {x=\frac43y}} \right. \\\left \{ {{7y=420 /:7} \atop {x=\frac43y}} \right.\\[/tex]

[tex]\left \{ {{y=60} \atop {x=\frac43*60}} \right. \\\left \{ {{y=60} \atop {x=4*20}} \right. \\\left \{ {{y=60} \atop {x=80}} \right.[/tex]

Odp. Dziadek ma 80 lat a babcia 60.