Răspuns:
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abc=34×(a+b+c)
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abc=100a+10b+c
34(a+b+c)=34a+34b+34c
=> 100a+10b+c=34a+34b+34c
100a-34a=(34b-10b)+(34c-c)
<=> 66a=24b+33c | ÷3
=> 22a=8b+11c
2 | 22a } => 2 | 11c => 2 | c
2 | 8b }
11 | 22a } => 11 | 8b => 11 | b => b=0
11 | 11c }
==> 11c=22a |÷11
c=2×a
1. ~fie: a=1; b=0; c=2
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abc=102
2. ~fie: a=2; b=0; c=4
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abc=204
3. ~fie: a=3; b=0; c=6
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abc=306
4. ~fie: a=4; b=0; c=8
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abc=408
S={102, 204, 306, 408}
Sper că te-am ajutat! Succes!
