Question

$If \: A:B \: = \: 2:3 \: and \: B:C \: = \: 7:8 \: then \: A:B:C \: is :$
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Answer 1

Step-by-step explanation:

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

Hope it helps..

Answer 2

Answer:

14:21:24 is your answer

Step-by-step explanation:

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 and  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

In simple words  we just have to   give them value

so 2:3=2x:3x

if 3x=21

so 2x=21*2/3=14

similarly,7:8=7x:8x

if 7x=21

then 8x=21*8/7

=24

please mark it as brainliest