The sum of 2 numbers is 18. 3 times the greater number exceeds 4 times the smaller number by 5. Find

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The sum of 2 numbers is 18. 3 times the greater number exceeds 4 times the smaller number by 5. Find the numbers.

Let the first number be x. The second number is y. We have:

1. x + y = 18
2. 3x = 4y + 5

Rearrange (2), by subtracting 4y from each side:
3x - 4y = 5

So we have a system of equations:

1. x + y = 18
2. 3x - 4y = 5

Using our simultaneous equations calculator, we get:
x = 11
y = 7