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4/7
of a number is 36
What is the number?

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$$\huge\boxed{\bf\:x = 63}$$

Step-by-step explanation:

Given,

-  4/7th of a number = 36

Let's take the unknown number as 'x'.

Now,

4/7 × x = 36

Take the reciprocal of 4/7 to the other side of the equation .

x = 36 × 7/4

Cancel 36 by 4.

x = 9 × 7

Multiply the 2 numbers

x = 63

$$\rule{150pt}{2pt}$$
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$$\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}$$
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