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# Ex.2.5 Q2 Linear Equations in One Variable Solution - NCERT Maths Class 8

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## Question

Solve the linear equation \begin{align}\frac{n}{2} - \frac{{3n}}{4} + \frac{{5n}}{6} = 21\end{align}

Video Solution
Linear Equations
Ex 2.5 | Question 2

## Text Solution

What is known?

Equation

What is unknown?

Value of the variable

Reasoning:

Multiple both sides by the L.C.M of the denominators to get rid of fractional number. Now transpose variables to one side and constant to another side.

Steps:

$\frac{n}{2}-\frac{3n}{4}+\frac{5n}{6}=21$

LCM of the denominators, $$2, 4,$$ and $$6,$$ is $$12.$$

Multiplying both sides by $$12,$$ we obtain

\begin{align}6n - 9n + 10n &= 2527\\7n &= 252 \\n &= \frac{{252}}{7}\\n &= 36 \\\end{align}

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