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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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#### Question

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

#### Solution

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)

Is there an error in this question or solution?

#### APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(D) | Q: 6 | Page no. 102

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Solution What Quantity Must Be Added to Each Term of the Ratio X: Y So that It May Become Equal to C: D? Concept: Ratios.
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