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

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प्रश्न

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

योग
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उत्तर

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)`

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