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Question

If x:y::3:5, find the ratio 4x+9y:8x+9y.


A

23:19

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B

19:23

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C

3:5

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D

5:3

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Solution

The correct option is B

19:23


Given that xy=35

Now, 4x + 9y8x + 9y=y(4xy + 9)y(8xy + 9)

=4xy + 98xy + 9

=4×(35) + 98×(35) + 9

=5769

=1923


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