Question

(a+b):(b+c):(c+a)=6:7:8 and (a+b+c)=14 then the value of c is

Answer 1

Answer:

Let (a+b) = 6x

(b+c) = 7x

(c+a) = 8x

2a + 2b + 2c = 21x

2 (a + b + c) = 21x

2 (14) = 21x

28 = 21x

x = 4/3

a+b = 6 * 4/3 = 8

a + b + c = 14

8 + c = 14

c = 6

b + 6 = 7 (4/3)

b = 28/3 - 18/3 = 10/3

b:c = (10/3)/(6/1) = 10/18 = 5/9

a + c = 8x

a + 6 = 32/3

a = 32/3 - 18/3 = 14/3

a:c = (14/3)/(6/1) = 14/18 = 7/9