Subtract 82333

I think of three numbers; when I add them, I get 16; when I subtract the third from the sum of the first two numbers, I get 10; when I subtract the second from the sum of the first and third numbers, I get 8. Which numbers do I think?

Correct answer:

a =  9
b =  4
c =  3

Step-by-step explanation:

a+b+c=16 a+bc=10 a+cb=8  a+b = 16c a+c = 16b  (16c)c=10  2c=6  c=26=3  c=3  (16b)b=8  2b=8  b=28=4  b=4  a=16cb=1634=9



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