Question

What quantity must be added to each term of the ratio x : y so that it may become equal to c : d?

Answer 1

Let the required quantity which is to be added be p.

Then, we have:

`(x + p)/(y + p) = c/d`

dx + pd = cy + cp

pd – cp = cy – dx

p(d – c) = cy – dx

`p = (cy - dx)/(d - c)`