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If a2 + b2 = 4b + 6a - 13 then...

This question belongs to Arithmetic Ability Algebra
Algebra
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If a2 + b2 = 4b + 6a - 13, then what is the value of a + b?

Answer & Solution
Correct Answer: Option C
a2 + b2 = 4b + 6a - 13
a2 + 9 - 3a + b2 + 4 - 4b = 0
(a - 3)2 + (b - 2)2 = 0
a = 3, b = 2
a + b = 5
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