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ab+bc+ca=88


Răspuns :

Răspuns:

Explicație pas cu pas:

10a+b+10b+c+10c+a=88, ⇒11a+11b+11c=88, ⇒11(a+b+c)=88, ⇒a+b+c=8

a,b,c≠0, deci (a,b,c)∈{(1,1,6),(1,6,1),(6,1,1),(1,2,5),(1,5,2),(5,1,2),(5,2,1),(1,3,3),(3,1,3),(3,3,1),(1,4,3),(1,3,4),(4,1,3),(4,3,1)}

10a +b +10b+c+10c+a=88

11a+11b+11c=88

11(a+b+c)=88

a+b+c=88:11

a+b+c=8