If (a + b - c) : (b + c - a) : (a + c - b) = 4 : 5 : 9, then a - b : c - b : c - a =
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Correct answer: D
Explanation
The correct answer is option 1 i.e. 4 : 5 : 1
(a + b - c) = 4......1
(b + c - a) = 5.......2
(a + c - b) = 9.......3
Add equation 1 and 2
2b = 9
b = 4.5
Add equation 2 and 3
2c = 14
c = 7
Add equation 3 and 1
2a = 13
a = 6.5
ATQ,
a - b = 6.5 - 4.5 = 2
c - b = 7 - 4.5 = 2.5
c - a = 7 - 6.5 = .5
Required ratio = 2 : 2.5 : .5
multiply by 2 = 4 : 5 : 1