SOLUTION: Suppose that the sum of two numbers is 16, and the sum of their squares is 178. Find the numbers

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Question 628786: Suppose that the sum of two numbers is 16, and the sum of their squares is 178. Find the numbers
Answer by meetkisai(17) About Me  (Show Source):
You can put this solution on YOUR website!
a + b =16 --------- A
a%5E2+%2B+b%5E2+=+178

%28a%2Bb%29%5E2 = 256
2ab = 256-178
%28a-b%29%5E2 = 178 - (256-178)
a-b = 10 ----------- B
A and B are linear, by elimination
2* a= 26 => a=13
b=>3