1. If $$(\frac{3}{2})X=(\frac{5}{7})Y=(\frac{6}{5})Z$$, then what is X:Y:Z ?
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By: anil on 05 May 2019 03.00 pm
Let $$(frac{3}{2})X=(frac{5}{7})Y=(frac{6}{5})Z=k$$
=> $$X=frac{2k}{3}$$, $$Y=frac{7k}{5}$$ and $$Z=frac{5k}{6}$$ => $$X:Y:Z=frac{2k}{3}:frac{7k}{5}:frac{5k}{6}$$ Multiplying the terms by L.C.M. (3,5,6) = 30 => $$30(frac{2}{3}:frac{7}{5}:frac{5}{6})$$ = $$20:42:25$$ => Ans - (D)
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=> $$X=frac{2k}{3}$$, $$Y=frac{7k}{5}$$ and $$Z=frac{5k}{6}$$ => $$X:Y:Z=frac{2k}{3}:frac{7k}{5}:frac{5k}{6}$$ Multiplying the terms by L.C.M. (3,5,6) = 30 => $$30(frac{2}{3}:frac{7}{5}:frac{5}{6})$$ = $$20:42:25$$ => Ans - (D)