Question

2. IfA: B= 2 : 3 and B: C= 7:8, Find A:B:C.
4. If 2A = 3B =C, find A:B:C.​

Answer 1

Answer:

2.A:B:C=14:21:24

4.A:B:C=6:4:3

Step-by-step explanation:

2.Since B is common in both , we have to reach a common number for B in both ratios A:B & B:C , so that in proportion to that common number we can get the value of A & C too.

Since, B has no common factor ,so common number will be a achieved by a simple multiplication of 3*7 which is equal to 21.

Actually, 21 is L.C.M. of 3 & 7.

Now,

When B is 21 , A will be 14 (A= 21*2/3)

When B is 21, C will be 24 (C= 21*8/7)

Hence, A:B:C = 14:21:24

4.Given,  

2a=3b=4c

Now dividing both sides with LCM of 2,3,4 i.e. 12 we get,

Given,  

2a=3b=4c

Now dividing both sides with LCM of 2,3,4 i.e. 12 we get,

6

a

​  

=  

4

b

​  

=  

3

c

​  

 

So a:b:c=6:4:3