a : 5 = x rest 2 ⇒ a = 5 x + 2
a : 7 = y rest 4 ⇒ a = 7 y + 4
a : 14 = z rest 11 ⇒ a = 14 z + 11
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a =5 x + 2 = 7 y + 4 = 14 z + 11 l + 3
a + 3 = 5 x + 5 = 7 y + 7 = 14 z + 14 = 5 ( x + 1 ) = 7 ( y + 1 ) = 14 ( z + 1 )
a + 3 = [ 5, 7, 14 ] = 2 × 7 × 5 = 70
a = 70 - 3
a = 67
Verific:
67 : 5 = 13 rest 2
67 : 7 = 9 rest 4
67 : 14 = 4 rest 11
Raspuns: a = 67
