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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

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (D) [पृष्ठ १०२]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (D) | Q 6 | पृष्ठ १०२
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