Question

How do you solve $\dfrac{n}{{12}} = 12$ ?

Answer 1

Hint:To solve this question, we need to use the concept of multiplication or division in simple equations. We have to remove extra digits connected with the variable by doing different arithmetic operations according to the relation between the variable and the number. For instance, here, we have the variable $n$ divided by 12 on the left hand side.Therefore, we need to remove 12 to get the solution of the equation.

Complete step by step answer:
We are given $\dfrac{n}{{12}} = 12$. Now, to find the variable $n$, we need to remove the digit 12 by which $n$ is divided. This can be done by multiplying the left hand side by 12.However, it is important to know that we need to perform any arithmetic operation on both the sides of the equation.Therefore, we will multiply both the sides of the equation by 12.
$\dfrac{{12n}}{{12}} = 12 \times 12$
Now, we know that when there is the same number in the numerator and the denominator, it gets cancelled out. Therefore, here, we can cancel out the digit 12 on the left hand side of the equation. Which will give us:
$\therefore n = 144$
Thus, our final answer is 144.

Note:It is important to keep in mind that while solving a simple equation, we need to think of the equation as a balance. Thus, if we do something to one side of the equation, we must do the same thing to the other side. Doing the same thing to both sides of the equation keeps the equation balanced. For example, we have multiplied both the sides by 12 in this problem.