1. The largest of 2 integers is one more than
three times the smaller. If the suin of the two
integers is 37, find the larger integer.

The larger integer is 28.

I'm first going to call these 2 integers n and m, where n is the larger and m is the smaller. We can now write equations based on the information they gave us:

(equation 1) n + m = 37, which tells us that the sum of the integers is 37

(equation 2) n = 3m + 1, which tells us that the larger integer is one more than 3 times the smaller.

Now we can simultaneously solve these equations, and I'm going to do this by substituting in equation 2 into equation 1:

n + m = 37

(3m + 1) + m = 37

4m + 1 = 37

- 1

4m = 364

÷ 4

m = 9

Now that we know the smaller integer is 9, we can find the larger by using equation 1:

n + m = 37

n + 9 = 37

- 9

n = 28

I hope this helps!

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