Question

How do you write the expression, for eight less than three time of a number is $-23?$

Answer 1

Hint: Consider the required number as $'x'$
So,
$8$ less than the number is $-23$
Here, replace “is” with “equal to” sign, and rewrite the expression.
Eg. Two less than a number, if we consider the number as $x,$ So, two less than the number will be $\left( x-2 \right)$ use this concept to solve the expression.

Complete step-by-step solution:
As per question,
We have to write the expression of, eight less than three time of a number is $-23$
Let the number is $'x'$
As we know that,
In BODMAS rule,
We apply the multiplication first,
So, here we will solve the expression of three times a number “first”
As, if the number is $x,$ then three times of number will be three times of $x$
$=\left( 3\times x \right)=32$
Now, from question,
Eight less than three time of number,
Means, $8$ less than $3x,$
$=\left( 3x-8 \right)$
Now, replacing “is” with “equal to” sign
So, we will get,
Eight less than three times of number is $-23$
$\Rightarrow \left( 3x-8 \right)=-23$
$\Rightarrow 3x=-23+8$
$\Rightarrow 3x=-15$
$\Rightarrow x=\dfrac{-15}{3}=-5$

Eight less than three times a number is equal to -23 can be written as $3x-8=-23$.

Note: $\left( 1 \right)$ If it is mentioned that one-fourth of number means that will be equal to $\dfrac{1}{4}$ of number.
$\left( 2 \right)$ If it is mentioned as greater than $5,$ then we will add $\left( +5 \right)$ to the number.
$\left( 3 \right)$ White solving the expression, first solve the expression “three times of a number”, because here three time is associated with a number.
$\left( 3 \right)$ “Eight less than” means “we have to subtract eight from the given number”
If the same statement is framed like that three time of a number is flight less than $15,$
Then here,
We will write, $15 - 8 = 3x$