Question

If a+b : b+c : c+a = 3:4:5 find a:b:c

Answer 1

Answer:

2:1:3

Step-by-step explanation:

(a+b)/(b+c) = 3/4

cross-multiplying, 4a+4b = 3b + 3c (or) 4a+b = 3c...(1)

(b+c)/(c+a) = 4/5

cross-multiplying, 5b+5c = 4c + 4a (or) 5b +c = 4a...(2)

substituting (2) in (1) , 5b+c+b = 3c or 6b = 2c or c = 3b ..(3)

using (3) in (1), 4a+b = 9b (or) 4a = 8b (or) a = 2b

a:b:c = 2b:b:3b = 2:1:3