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Given, ab=cd, prove that: 3a-5b3a+5b=3c-5d3c+5d - Mathematics

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प्रश्न

Given, `a/b = c/d`, prove that: `(3a - 5b)/(3a + 5b) = (3c - 5d)/(3c + 5d)`

योग

उत्तर

`a/b = c/d`

`(3a)/(5b) = (3c)/(5d)`   ...`("Multiplying each side by" 3/5)`

`(3a + 5b)/(3a - 5b) = (3c + 5d)/(3c - 5d)`  ...(By componendo and divdendo)

`(3a - 5b)/(3a + 5b)= (3c - 5d)/(3c + 5d)`   ...(By invertendo)

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अध्याय 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (C) [पृष्ठ १०१]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (C) | Q 3 | पृष्ठ १०१

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