Question
Tue April 14, 2015 By: Sriradha Gupta

Sir, could you please solve this one?
Sir, could you please solve this one, Question no 89589, Mathematics

Expert Reply
Vimala Ramamurthy
Wed April 15, 2015
G i v e n space t h a t comma space x over 5 equals y over 3 equals fraction numerator 3 x plus 2 y over denominator k end fraction L e t space x over 5 equals y over 3 equals m rightwards double arrow x equals 5 m comma space y equals 3 m rightwards double arrow 3 x plus 2 y equals 3 open parentheses 5 m close parentheses plus 2 open parentheses 3 m close parentheses equals 15 m plus 6 m T h u s comma space fraction numerator 3 x plus 2 y over denominator k end fraction equals fraction numerator 15 m plus 6 m over denominator k end fraction... left parenthesis 1 right parenthesis B u t space sin c e comma space x over 5 equals y over 3 equals m comma space w e space h a v e comma space fraction numerator 3 x plus 2 y over denominator k end fraction equals m F r o m space e q u a t i o n space left parenthesis 1 right parenthesis comma space w e space h a v e comma fraction numerator 15 m plus 6 m over denominator k end fraction equals m rightwards double arrow 21 m equals k m rightwards double arrow k equals 21
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