Question

The sum of x and y numbers is 38. One number,x, is 22 less than y. What is the product of x and y.

Answer 1

x = 8

y = 30

Explanation:

This is a simple systems of equations problem. You'd want to write 2 equations for the 2 pieces of information they gave you.

x + y = 38

y - 22 = x

There are multiple ways to solve it, but since they give you what x equals, I would substitute in into the other equation.

(y - 22) + y = 38

2y - 22 = 38

2y = 60

y = 30

You can take y = 30 and plug it into an original equation for the value of x.

x + 30 = 38

x = 8

I hope this helped!