Question

(b) If A:B = 5:6 and B:C = 7:8, find A:B:C​

Answer 1

A:B=5:6
So,

B
A
​
=
6
5
​


A=
6
5B
​
......(1)

B:C=4:7
So,

C
B
​
=
7
4
​


C=
4
7B
​
......(2)

From (1) and (2),

A:B:C=
6
5B
​
:B:
4
7B
​


=
6
5
​
:1:
4
7
​


=10:12:21

Answer 2

Answer:

A:B:C = 5:7:9

Step-by-step explanation:

AB /BC = BC / AC

:- Let , 6 = 7 & 8 = 9. .....( equation (1) )

:- AB / BC = 5 / 7 &. BC / AC = 7 / 9 ...( from (1) )

:- AB / BC /AC = 5 / 7 / 9.

:- so,. AB : BC : AC. = 5 : 7 : 9.