1.

(3x+4):(4x+9) is the duplicate ratio of 4:5 , find x

Answer»

According to the question :


\frac{ {4}^{2} }{ {5}^{2} }  =  \frac{3x + 4}{<klux>4X</klux> + 9}  \\  \\  =>  \frac{16}{25}  =  \frac{3x + 4}{4x + 9}


=> 16( 4x + 9 ) = 25( 3x + 4 )

=> 64X + 144 = 75X + 100

=> 44 = 11X

=> 4 = x



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