Question

If 2 is subtracted from three times a number then the result is 8 less than 5 times the number. find the number​

Answer 1

Given: If 2 is subtracted from three times a number then the result is 8 less than 5 times the number.

To find: The unknown number.

Answer:

Let us assume that, 'a' be the unknown number.

As it is given that, 2 is subtracted from three times a number then the result is 8 less than 5 times the number. Therefore, our equation becomes:

⇒ 3x - 2 = 5x - 8

Now, solving the above equation, we get:

⇒ 3x - 2 = 5x - 8

⇒ 3x - 5x = -8 + 2

⇒ -2x = -6

⇒ 2x = 6

⇒ x = 3

Hence, the unknown number is 3.

Hope it helps :)

Answer 2

In context to question asked,

We have to determine the value of number.

As per question,

It is given that,

If 2 is subtracted from three times a number then the result is 8 less than 5 times the number.

So, let the number be x

Three times of the number will be $=(3 \times x) = 3x$

5 times of the number will be $=(5\times x) = 5x$

So, from above,

We can write the statement as,

If 2 is subtracted from three times a number,

Then value of the number will be $3x-2$

8 less than 5 times the number,

Then value of number will be $5x-8$

So, equating both the values,

We will get,

$3x-2 = 5x-8$

So, for separating the above equation,

We will solve the equation by separating the like terms at one side.

So, we will get,

$3x-2 = 5x-8\\=>5x-3x =-2+8\\=>2x = 6\\=>x = 3$

Hence, value of the required number will be 3.