Question 628786
a + b =16 --------- A
{{{a^2 + b^2 = 178}}}


{{{(a+b)^2}}} = 256
2ab = 256-178

{{{(a-b)^2}}} = 178 - (256-178)
a-b = 10 ----------- B

A and B are linear, by elimination
2* a= 26 => a=13
b=>3