Răspuns :
{ a, b } d.p { 5, 8 }
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a + b = 39
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a / 5 = b / 8 = K
a / 5 = K => a = 5 K
b / 8 = K => b = 8 K
5 K + 8 K = 39
13 K = 39
K = 39 : 13
K = 3
a = 3 x 5 = 15
b = 3 x 8 = 24
-------------------------
a + b = 39
-------------------------
a / 5 = b / 8 = K
a / 5 = K => a = 5 K
b / 8 = K => b = 8 K
5 K + 8 K = 39
13 K = 39
K = 39 : 13
K = 3
a = 3 x 5 = 15
b = 3 x 8 = 24
a / 5 = b / 8 = (a+b) / (5+8) = 39 / 13 = 3
=> a = 5*3 = 15 si
b = 8*3 = 24 ;
=> a = 5*3 = 15 si
b = 8*3 = 24 ;