Science, asked by dineshkumar9318, 3 months ago



Do it first first first​

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Answers

Answered by arshi758
8

Answer^

Explanation:

hope it will help you;

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Answered by Anonymous
262

Given :–

  •   \sf (3a+b):(a+b)=9:5

To Find :–

  •   \sf a:b =?

Solution :–

ㅤWe are given :-

 \sf\red{\:  \:  \:  \:  \:  \:  \::\implies (3a+b):(a+b)=9:5}\\

 \sf\:  \:  \:  \:  \:  \:  \:: \implies \dfrac{(3a+b)}{(a+b)}= \dfrac{9}{5}\\

 \sf \:  \:  \:  \:  \:  \:  \::\implies \dfrac{(2a )+ (a+b)}{(a+b)}= \dfrac{9}{5}\\

 \sf\:  \:  \:  \:  \:  \:  \::\implies \dfrac{(2a )}{(a + b)} +   \cancel\dfrac{(a+b)}{(a+b)}= \dfrac{9}{5} \\

 \sf\:  \:  \:  \:  \:  \:  \::\implies \dfrac{(2a )}{(a + b)} +   1= \dfrac{9}{5}\\

 \sf\:  \:  \:  \:  \:  \:  \::\implies \dfrac{(2a )}{(a + b)}= \dfrac{9 - 5}{5} \\

 \sf \:  \:  \:  \:  \:  \:  \::\implies \dfrac{(2a )}{(a + b)}= \dfrac{4}{5}\\

 \sf\:  \:  \:  \:  \:  \:  \::\implies \dfrac{a}{a + b}= \dfrac{4}{5 \times 2}\\

 \sf \:  \:  \:  \:  \:  \:  \::\implies \dfrac{a}{a + b}= \dfrac{2}{5}\\

 \sf \:  \:  \:  \:  \:  \:  \::\implies \dfrac{a + b}{a}= \dfrac{5}{2}\\

 \sf \:  \:  \:  \:  \:  \:  \::\implies 1 +\dfrac{b}{a}= \dfrac{5}{2}\\

 \sf\:  \:  \:  \:  \:  \:  \::\implies \dfrac{b}{a}= \dfrac{5}{2} - 1 \\

 \sf \:  \:  \:  \:  \:  \:  \::\implies \dfrac{b}{a}= \dfrac{3}{2} \\

 \sf\red{ \:  \:  \:  \:  \:  \:  \::\implies \dfrac{a}{b}= \dfrac{2}{3}} \\\\

 \sf \therefore\:  \:  \:  \boxed{ \sf a:b=2:3}\\

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