Question

3 added to the product of a number and 4 gives 27 linear equation​

Answer 1

Step-by-step explanation:

What will be 3 added to a number and the result is multiplied by 4 to get 20?

Let the unknown number be x.

If you add 3 to this number, you get x + 3

We know that this latter result when multiplied by 4 is equal to 20, so we have:

4(x + 3) = 20

There are two ways of solving this simple equation to find x: either by multiplying out the LHS by 4 to get:

4x + 12 = 20

or by dividing both sides by 4 to get:

x + 3 = 5

Choosing the second method, then, we subtract 3 from both sides to get:

x + 3 - 3 = 5 - 3

or:

x = 5 - 3

so that:

x = 2

To check that we have the correct answer, we have 4(2 + 3) = 4(5) = 20, which concurs with the question.

Therefore, x is definitely 2.

See if you get the same answer for x by solving the first ‘multiplied-out’ equation of 4x + 12 = 20, to be absolutely certain!

QED