If (3 a+2 b):(5 a+3 b)=18: 29 . Find a: b .

ICSE Class X Math 2016 Solved Paper - Question 12

Question : 12 of 57

Marks: +1, -0

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

. Find

a : b

Solution:

\;\;\text " Given: "\;(3 a+2 b):(5 a+3 b)=18: 29

\;⇒ \;\; \;{3 a+2 b}/{5 a+3 b}=\;{18}/{29}

\;⇒ \;\; 87 a+58 b=90 a+54 b

\;⇒ \;\; 3 a=4 b

\;\;{a}/{b}=\;{4}/{3}

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