Medium
A+B=50, B+C=70, C+A=84. What is the number representing A squared plus B squared?
A+B=50, B+C=70, C+A=84. What is the number representing A squared plus B squared?
Adding all three equations gives 2(A+B+C)=204, so A+B+C=102. Solving individually: C=102-50=52, A=102-70=32, B=102-84=18. So A squared plus B squared = 32 squared + 18 squared = 1024+324=1348.
Re-check your working by substituting the answer back into the original question.