Question

calculati numerele naturale abc stind ca a+b=100,b+c=110,a+c=90

Answer 1

a+b=100 ; b+c=110 ; a+c=90 ; adunam cele 3 relatii

a+b+b+c+a+c = 100+110+90 ; 2a+2b+2c=300, 2(a+b+c)=300 ; impartim la 2

a+b+c=150 ; inlocuim a+b ⇒ 100+c = 150 ; c=150-100 = 50 ;

inlocuim b+c ⇒ a+110 = 150 ; a=150-110 = 40, b=100-40 = 60

verificare : 40+60+50 = 150