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If 5a + 3b : 3a + 5b = 3 : 4, find a : b. - Mathematics

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Question

If 5a + 3b : 3a + 5b = 3 : 4, find a : b.

Sum
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Solution

`(5a + 3b)/(3a + 5b) = 3/4`

4(5a + 3b) = 3(3a + 5b)

20a + 12b = 9a + 15b

20a − 9a = 15b − 12b

11a = 3b

a : b = 3 : 11

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Chapter 7: Ratio and proportion - Exercise 7A [Page 161]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and proportion
Exercise 7A | Q 13. | Page 161
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