Question

if a:b=2:3 and b:c=2:3 then a:b:c=? ​

Answer 1

Answer:

$a:b = 2:3$

$= > \frac{a}{b} = \frac{2}{3}$

$a = \frac{2}{3} b....... > equation1$

$b:c = 2:3$

$c = \frac{3}{2} b........ > equation \: 2$

$a:b:c = \frac{2b}{3} :b: \frac{3b}{2}$

$= \frac{2}{3} :1: \frac{3}{2}$

$= \frac{2}{3} \times 6:1 \times 6: \frac{3}{2 } \times 6$

$= 4:6:9$

Answer 2

Answer:

a/b=2/3 or,a=2b/3 again,b/c=2/3 or,c=3b/2 now,a:b:c=2b/3:b:3b/2=2b/3×6:b×6:3b/2×6=4b:6b:9b=4:6:9