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Question

If (3a+2b) : (5a+3b) = 18 : 29, find a : b


A

3:2

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B

4:3

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C

1:1

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D

5:3

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Solution

The correct option is B

4:3


3a+2b5a+3b=1829b[3(ab)+2]b[5(ab)+3]=1829
Let ab=x
Then, 29(3x+2)=18(5x+3)87x+58=90x+5487x90x=58+543x=4x=43ab=43a:b=4:3


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