Question

If A: B = 2 : 3 and B : C = 4:5, find A:B:C.​

Answer 1

Given a:b=2:3,b:c=4:5,c:d=6:7
a:b=2×8:3×8=16:24
b:c=4×6:5×6=24:30
c:d=6×5:7×5=30:35
soa:b:c:d=16:24:30:35

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Answer 2

Step-by-step explanation:

We are given with two simple ratios

a:b=2:3,

b:c=4:5

When we want the combined ratio of these kind of ratios like a:b:c, we do have a small trick.

In a:b:c the ratio component of ‘a’ will be the product of compnent of ‘a’ in a:b and component of ‘b’ in b:c I.E., 2*4=8. a=8.

Component of ‘b’ will be product ‘b’ components in both the ratios I.E., 4*3=12. b=12

Component of c will be product of Component of b in a:b and c component in b:c I.E., 5*3=15. C=15

So the ratio of a:b:c=8:12:15