Question

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.

Answer 1

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!