Question

a÷5=x r 2 a÷7=y r 4 a÷14=z r 11
a=?

Answer 1

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

______________________________

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