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If `A/B = C/D` Prove that Each of the Given Ratios is Equal to `(5a + 4c)/(5b + 4d) - ICSE Class 10 - Mathematics

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Question

If `a/b = c/d` prove that each of the given ratios is equal to

`(5a + 4c)/(5b + 4d)`

Solution

Let `a/b = c/d = k`

Then a = bk and c = dk

`(5a + 4c)/(5b + 4d)` = `(5(bk) + 4(dk))/(5b + 4d) = (k(5b + 4d))/(5b + 4d) = k` = each given ratio

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7B | Q: 18.1

Video TutorialsVIEW ALL [1]

Solution If `A/B = C/D` Prove that Each of the Given Ratios is Equal to `(5a + 4c)/(5b + 4d) Concept: Proportions.
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