Question

A number is multiplied by 6 and that product is added to 4 . The sum is equal to the product of 2 and 14

Answer 1

The number is 4

STEP - BY - STEP EXPLANATION

What to find?

• The translation of the problem to an equation.

,

• The unknown number.

Let x be the number.

To solve, we will follow the steps below:

Step 1

Translate the problem into an equation.

That is;

6x + 4 = 2(14)

Step 2

Simplify the right - hand side of the equation.

6x + 4 = 28

Step 3

Subtract 4 from both-side of the equation.

6x = 28 - 4

6x = 24

Step 4

Divide both-side of the equation by 6.

`\frac{\cancel{6}x}{\cancel{6}}=(24)/(6)`

x = 4

Therefore, the number is 4.