Question

If 5 is subtracted from three times a number, then the result is 16. Find the number?

Answer 1

Hint: So for solving these types of questions we will assume the number to be $x$ and then we will frame the equation according to the condition given, and after that, we just have to solve for the value of $x$ which is the required number.

Complete step-by-step answer:
From the question, it is given that the number $5$ is subtracted from three times a number, then the result is $16$.
Let us assume the number be $x$, so now we have to frame the equation according to the question
Therefore, the equation is given by
$  3x - 5 = 16$ - (1)
Now taking the constant term to the right side, so we get
$ \Rightarrow 3x = 16 + 5$
Now solving the addition part of the right side equation, we get
$ \Rightarrow 3x = 21$
So taking the constant term to the right side in the denominator, we get
$ \Rightarrow x = \dfrac{{21}}{3}$
On solving the division, we get
$ \Rightarrow x = 7$
Therefore, $7$ is the number.

Note: 

After getting the answer, we can verify whether it is correct or not

Let's substitute $x=7$ in equation (1)

$3 \times (7) - 5 = 16$ 

$\Rightarrow 21 -5 = 16$

$\Rightarrow 16 = 16$ which is true.

So, our answer is correct.

For this type of problems, first understand the logic in the given problem and form a linear equation which is the major step.