Question

If a/b = c/d prove that each of the given ratio is equal to `(13a - 8c)/(13b - 8d)`

Answer 1

Let `a/b = c/d = k`

Then a = bk and c = dk

`(13a - 8c)/(13b - 8d) = (13(bk) - 8(dk))/(13b - 8d) = (k(13b - 8d))/(13b - 8d)` = k = each given ratio