[tex]\left \{ {{x^2-y^2=40} \atop {x+y=20}} \right. \\x = 20 - y\\(20-y)^2-y^2=40\\400-40y+y^2-y^2=40\\400-40y=40\\40y=400-40\\40y=360\\y=9\\x=20-y=20-9=11\\\\[/tex]
Ответ: 11 и 9
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[tex]\left \{ {{x^2-y^2=40} \atop {x+y=20}} \right. \\x = 20 - y\\(20-y)^2-y^2=40\\400-40y+y^2-y^2=40\\400-40y=40\\40y=400-40\\40y=360\\y=9\\x=20-y=20-9=11\\\\[/tex]
Ответ: 11 и 9