Answer:
The two integers are 28 and 9
Explanation:
Let's call the two integers x and y.
We have:
- The largest of the 2 integers is one more than three times the smaller: this means
x = 3y + 1 (1)
- The sum of the two integers is 37:
x + y = 37 (2)
It's a system of two equations that we can solve. Substituting directly (1) into (2),
3y + 1 + y = 37
4y + 1 = 37
4y = 36
y = 9
And so,
x = 3y + 1 = 3(9) + 1 = 27 +1 = 28
So the two integers are 28 and 9.
