Question

Fie a,b,c 3 nr. naturale ,iar a+b 369;b+c=596 si 5×a+10×b+9×c=6249.Afla nr.!Please!!

Answer 1

Răspuns

Explicație pas cu pas:

a + b = 369   si    b + c = 596

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5 × a + 10 × b + 9 × c = 6 249

5 × a + ( 5 × b + 5 × b ) + ( 5 × c + 4 × c ) = 6 249

5 × ( a + b ) + 5 × ( b + c ) + 4 × c = 6 249

5 × 369 + 5 × 596 + 4 × c = 6 249

1 845 + 2 980 + 4 × c = 6 249

4 825 + 4 × c = 6 249

4 × c = 6 249 - 4 825

4 × c = 1 424

c = 1 424 : 4       ⇒    c = 356

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b = 596 - 356    ⇒     b = 240

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a = 369 - 240     ⇒     a = 129