Question

Three fourth of a number is $36$. What is the number?

Answer 1

Hint: In this question, we are given a statement of a number and we need to find the number. For this, we will first suppose the numbers as x. Then using the given statement, we will form an equation of x. Solving the equation will give us the value of x which is our required numbers.

Complete solution:
Let us suppose that the given number is x.
Now, we need to find the value of x using the given statement. Let us first find the form of the number which is being used in the statement. Three-fourth of a number means we need to find $\dfrac{3}{4}$ of the number. Here, we have the supposed number as x. So, we get $\dfrac{3}{4} \times x$.
Three fourth of number $ \Rightarrow \dfrac{3}{4}x$
Now we are given that three-fourth of a number is thirty-six. So, we can say that $\dfrac{3}{4} \times x$ is $36.$
In mathematical terms, we can write it as:
$\dfrac{{3x}}{4} = 36$
Hence, we have formed an equation in terms of x. Let us solve it to find the value of x.
Now, let’s do cross multiplication in the above equation.
$x = \dfrac{{36 \times 4}}{3}$
$ \Rightarrow x = 48$

Hence the value of x is $48$.
Since x was supposed to be the given number, our required number is $48$.

Note:
Students can check their answer by putting a value of x in the equation and checking if the left side is equal to the right side. Here we have done the cross-multiplication so that we can move the variable to one side of the equation. Take care of signs while solving the equation.