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6. 根据下面的等式，求出$a$，$b$，$c$分别代表的数是多少。
$a + b = 14$
$b + c = 20$
$a + c = 16$
先求出$a + b + c$的值就容易啦！
$a + b = 14$
$b + c = 20$
$a + c = 16$
先求出$a + b + c$的值就容易啦！
答案
a=5, b=9, c=11。
解析
将三个等式相加：$a + b + b + c + a + c = 14 + 20 + 16$
化简得：$2(a + b + c) = 50$
则：$a + b + c = 25$
$c = (a + b + c) - (a + b) = 25 - 14 = 11$
$a = (a + b + c) - (b + c) = 25 - 20 = 5$
$b = (a + b + c) - (a + c) = 25 - 16 = 9$
$a=5$，$b=9$，$c=11$
化简得：$2(a + b + c) = 50$
则：$a + b + c = 25$
$c = (a + b + c) - (a + b) = 25 - 14 = 11$
$a = (a + b + c) - (b + c) = 25 - 20 = 5$
$b = (a + b + c) - (a + c) = 25 - 16 = 9$
$a=5$，$b=9$，$c=11$
