One number is five more than another, and their sum is three less than three times the smaller. Find the numbers.

If x represents the smaller number, which equation could be used to solve for x?

A. x 2 + 5 = 3x - 3
B. 2x + 5 = 3x - 3
C. 2x + 5 = 3(x - 3)

Respuesta :

The answer is B, because if you were to write it out first you could modify the equation to look like that and still be true.

Answer:

B. [tex]2x+5=3x-3[/tex].

Step-by-step explanation:

Let x represent the smaller number.

We have been one number is five more than another. The another number would be: [tex]x+5[/tex].

Sum of both numbers would be [tex]x+x+5=2x+5[/tex]

Three times the smaller number would be  [tex]3x[/tex].

Three less than three times the smaller number would be  [tex]3x-3[/tex].

We have been given that their sum is three less than three times the smaller. We can represent this information in an equation as: [tex]2x+5=3x-3[/tex].

Therefore, option B is the correct choice.