Question

if a+c:b =1:3 and a+b:c =2:1 find the ratio of a:b:c.

Answer 1

Comparing the ratios, we have

a + c = 1 ............... (i)
b = 3 ..................... (ii)

Again, a + b = 2 ....... (iii)
and c = 1 ..................... (iv)

Solving (i) and (iv), we get
a + 1 = 1
a = 1-1 =0. .......... (v)

Solving (iii) & (ii), we get,
a+3= 2
a = 2-3 = -1 ........... (vi)

From (v ), (vi), (ii) & (iv) we have
a:b:c = 0: 3: 1 = 0. Meaningless ratio.