Răspuns:
a+b+c=111
b:a=3 rest 3=>b=3a+3
c:b=2 rest2=>c=2b+2=>c=2(3a+3)+2=>c=6a+8
a+3a+3+6a+8=111
10a=111-11
a=100:10=>a=10
b=3·10+3=33
c=6·10+8=68
a + b + c = 111
b : a = 3 rest 3
c : b = 2 rest 2
b = 3 × a + 3
c = 2 × b + 2
c = 2 × ( 3 × a + 3 ) + 2
c = 6 × a + 6 + 2
a + 3 × a + 3 + 6 × a + 6 + 2 = 111
10 × a + 3 + 6 + 2 = 111
10 × a + 3 + 6 = 111 - 2
10 × a + 3 + 6 = 109
10 × a + 3 = 109 - 6
10 × a + 3 = 103
10 × a = 103 - 3
10 × a = 100
a = 100 : 10
a = 10
b = 3 × 10 + 3 = 30 + 3 = 33
c = 6 × 10 + 6 + 2 = 60 + 6 + 2 = 66 + 2 = 68
