Question 78

If (a + b) : (b + c) : (c + a) = 2 : 3 : 4 and a + b + c = 9,then the value of c =

Solution

Solution:

(a + b) : (b + c) : (c + a) = 2 : 3 : 4

Let the common factor of the ratio be x

So,

a+b = 2x

b+c = 3x

c+a = 4x

Adding all the 3 equations

2(a+b+c) = 9x

A/q

a + b + c = 9

So, 2.9 = 9x

=> x=2

So a+b = 2.2 =4

c = (a+b+c) - (a+b) = 9 -4 = 5 Answer

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