Quantitative Aptitude :: Problems on Numbers - Discussion

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Explanation:
Both curves intersect at (2, 5)
So 5 = – |2 – a| + b ? 5 + |2 – a| – b = 0 - - - (1)
5 = – |2 – c| + d ? 5 + |2 – c| – d = 0 - - - (2)
Also,
3 = – |8 – a| + b ? 3 + |8 – a| – b = 0 - - - (4)
3 = – |8 – c| + d ? 3 + |8 – c| – d = 0- - - (4)
Equating 1 and 3, 5 + |2 – a| = 3 + |8 – a| ? 2 + |2 – a| = |8– a|
So a = 4
Similarly if we equate 2 and 4, we get c = 4
a + c = 8