1.

if \(\frac{x}{2}-\frac{1}{4 }=\frac{x}{3}+\frac{1}{2}\)  then X = ....................​ if  x/2 - 1/4  =  x/3 + 1/2 then X = ....................  ​A) 1/2B) 1/4C) 9/2D) 2/9

Answer»

Correct option is C) 9/2

Correct option is (C) 9/2

\(\frac{x}{2}-\frac{1}{4}=\frac{x}{3}+\frac{1}{2}\)

\(\Rightarrow\) \(\frac{x}{2}-\frac{x}{3}=\frac{1}{2}-(-\frac{1}{4})=\frac{1}{2}+\frac{1}{4}\)

\(\Rightarrow\) \(\frac{3x-2x}{6}=\frac{2+1}{4}\)

\(\Rightarrow\) \(\frac{x}{6}=\frac{3}{4}\)

\(\Rightarrow\) \(x=\frac34\times6=\frac92.\)



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