Question

Write the following in equation form: A number exceeds $5$ by $3$.

Answer 1

Hint: These questions can be easily solved by writing down all the information given in the question and then forming a linear equation of the form $ax + b = 0$ or $ax = - b$ , where the coefficient of $x$ is $a$ and $b$ is the constant.

Complete step-by-step solution:
Let the number that exceeds $5$ by $3$ be $x$ . If a number exceeds another number then it is greater than that number. Therefore, when the number $x$ exceeds $5$ , we get $x - 5$ .
 Now, it is given that the number $x$ exceeds $5$ by $3$ therefore we get,
  $x - 5 = 3$
This is the required equation that can be written from the information given in the question.
On further solving the above equation we get,
Transposing $5$ to the Right-Hand Side of the equation, we get,
$x = 3 + 5$
Further simplification will give us the value of $x$ as,
$\Rightarrow x = 8$

Hence, the number that exceeds $5$ by $3$ is $x = 8$.

Additional Information: A linear equation in one variable is an algebraic expression that is of the general form $ax + b = 0$ , where $a \ne 0$ and it is the coefficient of the variable $x$ while $b$ is the constant of the equation. The general solution of such equations is given by $x = \dfrac{{ - b}}{a}$ . Linear equations are widely used in the world of mathematics from finding the slope of a line to finding the solution to some real-life problems.

Note: An alternative solution to this question can also include that the equation be formed by taking a number that is $3$ less than $5$. And hence, the equation then formed will be equal to $x - 3 = 5$ . On solving this equation as well the answer will remain the same.