The greater of two numbers is six more than three times the smaller. If theiss sum

Let's begin by writing the mathematical equations given by the sentences.

Let X = smaller number

Let Y = larger number

The first sentence tells us

X + Y = 38

The second sentence tells us

X = Y/3 + 6

Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.

Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,

X = 38 - Y

Since both equations are equal to X, I can set them equal to one another and solve for Y.

Y/3 + 6 = 38 - Y

Y + 18 = 114 - 3Y

4Y = 96

Y = 24

Then use either of the two original equations to solve for X

X + Y = 38

X + 24 = 38

X = 14

Step-by-step explanation:

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