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Q 1. Divide 34 into two parts in such way that (4/7)th of one part is equal to (2/5)th of another

Answer»

Let PARTS are ( X ) and ( 34 - x )

According to the question :



= > \frac{4}{7}  \: of \: x=  \frac{2}{5}  \: of \:  \: (34 - x) \\  \\  =>  \frac{4x}{7}  =  \frac{68 - 2x}{5}  \\  \\  \\  = > 20x =  476 - 14x \\  \\  \\  = > 34x = 476 \\  \\  \\  => x =  \frac{476}{34}  \\  \\  \\  => x = <klux>14</klux>




Parts are

x = 14
34 - x = 34 - 14 = 20



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