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daca a•b+a•c=75, a=5, b<c cu 1,sa se afle valorile lui "b" si "c"

Răspuns :

102533

a•b+a•c=75 <=> a(b+c) = 75 <=> 5(b+c) = 75 <=> b+c = 75:5 <=> b+c = 15

c = b+1 => b+b+1 = 15 => 2b = 14 => b = 14:2 => b = 7 ; c = 8