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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

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