Question

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller

number? (5 points)
a
XI- (x + 4) - 52
b
X + (x + 4) - 52
X(X + 4) - 52
x(x - 4) - 52

Answer 1

x+(x+4)=52

Explanation:

Let's name the smaller number x.

The greater number would then be (x+4).

The sum of two numbers means we are adding them together.

The equation we could then set up would be:

x+(x+4)=52

Now we can solve the equation to find the two numbers if needed.

Here is how:

x+x+4=52

Combine like terms.

2x+4=52

Subtract 4 from both sides.

2x=48

Divide both sides by 2

x=24

The smaller number is 24.

24+4=28

The larger number is 28.