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Solve Each of the Following Equation and Also Verify Your Solution: X 2 + X 3 + X 4 = 13 - Mathematics

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ConceptIntroduction of Linear Equation

Question

Solve the following equation and also verify your solution:
\[\frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 13\]

Solution

\[\frac{x}{2} + \frac{x}{3} + \frac{x}{4} = 13\]
\[ \Rightarrow \frac{x \times 6 + x \times 4 + x \times 3}{12} = 13\]
\[ \Rightarrow \frac{13x}{12} = 13\]
\[ \Rightarrow x = 13 \times \frac{12}{13} = 12\]
\[\text{ Verification: }\]
\[L . H . S . = \frac{12}{2} + \frac{12}{3} + \frac{12}{4} = 6 + 4 + 3 = 13 = R . H . S .\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 9: Linear Equation in One Variable
Ex. 9.1 | Q: 3 | Page no. 5

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Solution Solve Each of the Following Equation and Also Verify Your Solution: X 2 + X 3 + X 4 = 13 Concept: Introduction of Linear Equation.
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