Question

a+b+c=1047/9*3 a:b=12r7 b:c=6r2

Answer 1

Răspuns:

a = 319 ;  b = 26 ;  c = 4

Explicație pas cu pas:

a+b+c = (1047/9)·3 = (1047·3):9 = 3141:9 = 349

a + b + c = 349

a : b = 12 r 7 <=> a = 12b + 7

b : c = 6 r 2  <=> b = 6c + 2 =>

a = 12·(6c+2) + 7 = 72c + 24+7 = 72c + 31

a+b+c = 72c+31 + 6c+2 + c = 349  =>

79c = 349-33  => 79c = 316

c = 316:79  => c = 4

b = 6·4+2 = 24+2 = > b = 26

a = 72·4 + 31 = 288+31 => a = 319