Math, asked by zaid200610, 6 months ago

If x/4+2/3=11/2 then x =

Answers

Answered by ravan2009
7

Question:

\frac{x}{4}+\frac{2}{3}=\frac{11}{2}\\.Then x =

Given:

\frac{x}{4}+\frac{2}{3}=\frac{11}{2}\\

To Find:

The value of x

Solution:

\frac{x}{4}+\frac{2}{3}=\frac{11}{2}\\

\frac{x}{4}+\frac{2}{3}=\frac{11}{2}\\\\\\\textsf{LCM-12}\\\\\\\frac{x}{4}\times\frac{3}{3}+\frac{2}{3}\times\frac{4}{4}=\frac{11}{2}\\\\\\\frac{3x}{12}+\frac{8}{12}=\frac{11}{2}\\\\\\\frac{3x+8}{12}=\frac{11}{2}\\\\\\\frac{3x}{12}=\frac{11}{2}-\frac{8}{12}\\\\\\\frac{3x}{12}=\frac{3}{12}\\\\\\x=\frac{3}{12}\times\frac{12}{3}\\\\\\x=1

Check:

\\\frac{x}{4}+\frac{2}{3}=\frac{11}{2}\\\\\\\textsf{Substitute x =1}\\\\\\\frac{1}{4}+\frac{2}{3}=\frac{11}{2}\\\\\\\textsf{LCM=12}\\\\\\\frac{1}{4}\times\frac{3}{3}+\frac{2}{3}\times\frac{4}{4}=\frac{11}{2}\\\\\\\frac{3}{12}+\frac{8}{12}=\frac{11}{2}\\\\\\\frac{11}{2}=\frac{11}{2}\\\\\\\textsf{LHS=RHS}

Answer:

  • x = 1
Answered by Zuest
0

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