Question

The equation form of ”one fifth of a number Z minus 3 gives 1”​

Answer 1

Complete step-by-step solution:
Let the unknown number be x
.
According to the question, one fifth of x
minus four gives three.
This means that we first have to take the one fifth of the unknown number, which in turn means that we have to multiply it by 15
or divide by 5
.
On dividing x
by five, we get x5
.
Now, four has to be subtracted from the one fifth of the unknown number. On subtracting four from x5
, we get (x5−4)
(
x
5
−
4
)
.
We will now equate the above expression to 3, so that we can write the mathematical equation as:
x5−4=3
x
5
−
4
=
3

Adding 4
4
on both the sides, we get
⇒x5=7
⇒
x
5
=
7

On multiplying both the sides by 5
5
, we get
⇒x=35
⇒
x
=
35


Therefore, the value of the required number is 35.

Note:
While converting a statement into a mathematical expression, we have to take proper care of the BODMAS rule. We might misinterpret the given statement as one-fifth of the number obtained by subtracting four from the unknown number is equal to three, and generate the mathematical equation as x−45=3
x
−
4
5
=
3
. Here comes the significance of the BODMAS rule according to which the division must be performed before the subtraction, and hence the equation is x5−4=3
Plz mark me brainlist
.