Question

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?
x2+5= 3x - 3
2x+5= 3x - 3
2x+5=3(x - 3)

Answer 1

Answer:

The smaller number is 8 and the bigger number is 13

The correct equation form is B. 2x + 5 = 3x - 3

Step-by-step explanation:

Smaller number = x

Bigger number = x + 5

Sum of the numbers = x + x + 5 = 3 - 3x

Let's solve the equation for the sum:

x + x + 5 = 3x - 3

2x + 5 = 3x - 3

2x - 3x = - 3 - 5 (Subtracting 5 at both sides)

-x = - 8

x = 8 (Multiplying by - 1 at both sides)

The smaller number is 8 and the bigger number is 13

The correct answer is B. 2x + 5 = 3x - 3