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ICSE Class X Math 2016 Solved Paper

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Question : 12
Total: 57
If (3a+2b):(5a+3b)=18:29 . Find a:b .
Solution:  
‌‌ Given: ‌(3a+2b):(5a+3b)=18:29
‌⇒‌‌‌
3a+2b
5a+3b
=‌
18
29

‌⇒‌‌87a+58b=90a+54b
‌⇒‌‌3a=4b
‌‌
a
b
=‌
4
3
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