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What Quantity Must Be Subtracted from Each Term of the Ratio 39 : 89 to Make It Equal to 2 : 5? - Mathematics

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Question

What quantity must be subtracted from each term of the ratio 39 : 89 to make it equal to 2 : 5 ? 

Sum
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Solution

Let x be subtracted from each term such that

`(39 - "x")/(89 - "x") = 2/5`

⇒ 195 - 5x = 178 - 2x 

⇒ 3x = 17

⇒ x = `17/3`

`17/3` should be subtracted from each term.

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Chapter 9: Ratio and Proportion - Exercise 9.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 9 Ratio and Proportion
Exercise 9.1 | Q 18
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