Question

Heya..

Find a:b if (3a+b):(a+b)=9:5.
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Answer 1

hope this is helpful

Answer 2

Question : Find a:b if (3a+b):(a+b)=9:5.


Solution :

$\frac{(3a + b)}{a + b} = \frac{9}{5} \\ \\ 5(3a + b) = 9(a + b) \\ \\ 15a + 5b \: = \: 9a \: + 9b \: \\ \\ 15a - 9a \: = 9b - 5b \: \\ \\ 6a = 4b \\ \\ \cancel{6a} = \cancel{ 4b} \\ \\ 3a \: = 2b \: \\ \\ \frac{a}{b} = \frac{2}{3}$


Hence, Value of a and b are 2 and 3 Respectively!