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If a : B : : C : D, Then Prove that - ICSE Class 10 - Mathematics

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Question

If a : b : : c : d, then prove that 

 2a+7b : 2a-7b = 2c+7d : 2c-7d 

Solution

 2a+7b : 2a-7b = 2c+7d : 2c -7d 

`"a"/"b" = "c"/"d"`

Multiplying both sides by `2/7`

`=> "a"/"b" xx 2/7 = "c"/"d" xx 2/7`

`=> (2"a")/(7"b") = (2"c")/(7"d")`

Applying componendo and dividendo, 

`(2"a" + 7"b")/(2"a" - 7"b") = (2"c" + 7"d")/(2"c" - 7"d")`

Hence, 2a+7b : 2a-7b = 2c+7d : 2c-7d 

  Is there an error in this question or solution?

APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.3 | Q: 1.1

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Solution If a : B : : C : D, Then Prove that Concept: Proportions.
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