Question

If 6A=7B=8C,then A :B:C is ?​

Answer 1

let

a=7
b=6
b=8
c=7


a:b=7:6
b:c=8:7

hence,
a:b:c = 64:48:42
a:b:c=32:24:21

Answer 2

Answer:

A: B: C = 28:24:21

Step-by-step explanation:

Given,

6A=7B=8C

To find

A :B:C

Solution

Since 6A=7B, we have

A = $\frac{7}{6} B$ -----------------(1)

Again since 7B=8C we have,

C = $\frac{7}{8}B$ --------------(2)

Required to find the value of A:B:C

Substitute the value of A  and C from equations (1) and (2) we get

A: B: C =  $\frac{7}{6} B$: B:  $\frac{7}{8}B$

Cancel 'B', being the common factor

A: B: C =  $\frac{7}{6}$: 1:  $\frac{7}{8}$

Multiply throughout by LCM

LCM of 6 and 8 = 24

A: B: C =  $\frac{7}{6}$×24: 1×24:  $\frac{7}{8}$×24

=28:24:21

∴A: B: C = 28:24:21

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