Question

If 6A = 3B = 5C, find A : B : C.

Answer 1

We set the given relationship equal to a constant, k.

6A = 3B = 5C = k

Step 1: Solved for A, B, C

6A = k

A = `k/6` 

3B = k

B = `k/3`

5C = k

C = `k/5`

Step 2: Write the ratio

A : B : C = `k/6 : k/3 : k/5`

= `1/6 : 1/3 : 1/5`

Step 3: Take LCM of denominators 6, 3, 5

L.C.M. = 30

`1/6 xx 30` = 5

`1/3 xx 30` = 10

`1/5 xx 30` = 6

A : B : C = 5 : 10 : 6