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?

Ax 2 + 5 = 3x - 3
B2x + 5 = 3x - 3
C2x + 5 = 3(x - 3)

Verified Answer :

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. \(2x+5=3x-3\).

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: \(x+5\).

Sum of both numbers would be \(x+x+5=2x+5\)

Three times the smaller number would be  \(3x\).

Three less than three times the smaller number would be  \(3x-3\).

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

Therefore, option B is the correct choice.