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If 3x + 2y : 5x + 6y = 1 : 2, find the ratio of x : y. - Mathematics

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Question

If 3x + 2y : 5x + 6y = 1 : 2, find the ratio of x : y.

Sum
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Solution

`(3x + 2y)/(5x + 6y) = 1/2`

2(3x + 2y) = 1(5x + 6y)

6x + 4y = 5x + 6y

6x − 5x = 6y − 4y

x = 2y

x : y = 2 : 1

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Chapter 7: Ratio and proportion - Exercise 7A [Page 116]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and proportion
Exercise 7A | Q 12. | Page 116
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