Question

If $$\frac{\mathrm{A}}{2} = \frac{\mathrm{B}}{3} = \frac{\mathrm{C}}{6}$$, find A : B : C.

Answer 1

Let $$\frac{\mathrm{A}}{2} = \frac{\mathrm{B}}{3} = \frac{\mathrm{C}}{6} = k$$.

Then, $$\mathrm{A} = 2k$$, $$\mathrm{B} = 3k$$ and $$\mathrm{C} = 6k$$.

Therefore, $$\mathrm{A} : \mathrm{B} : \mathrm{C} = 2k : 3k : 6k = 2 : 3 : 6$$.