Question

Stiind ca abc+dbc+ebc=1916,afla suma cifrelor a,b,c,d si e. Urgent ca am test!!!

Answer 1

Răspuns:

a+b+c+d+e = 26

Explicație pas cu pas:

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abc+dbc+ebc=1916 <=>

100a+10b+c+100d+10b+c+100e+10b+c = 1916 =>

100a+30b+3c+100d+100e = 1916

100(a+d+e) + 30b + 3c = 1916

3c = 6 => c = 2

30b + 3c = 116  => 30b = 110  => b ∉ N

                        => 30b = 210 => b = 7

=> 100(a+d+e) = 1916-216 = 1700 =>

a+d+e = 17 =>

a+b+c+d+e = 17+7+2 = 26

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