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Aptitude · Q399

Algebra

Competitive Exams · Aptitude · question 399

Q399

If a2 + b2 = 4b + 6a - 13, then what is the value of a + b?

A.
3
B.
2
C.
5
Answer
D.
10

Answer: Option C

Solution

Answer: Option C
Solution:
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