Question

A+B+C=649 UNDE A:C=8rest1 si B:C=10rest 2 afla nr

Answer 1

a + b + c = 649

a : c = 8 rest 1 ⇒ a = 8c + 1

b : c = 10 rest 2 ⇒ b = 10c + 2

~

a, b, c = ?

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a + b + c = 649

8c + 1 + 10c + 2 + c = 649

19c + 3 = 649 /-3

19c = 646 /:19

c = 34

a = 8c + 1 = 8 · 34 + 1 = 272 + 1 = 273

b = 10c + 2 = 10 · 34 + 1 = 340 + 1 = 341

/rfd