The sum of two numbers is 38. Find each number when one number is 8 more than the other number. Let x represent the larger of the two numbers and let y represent the smaller of the two numbers.

Answer 1

The sum of two numbers is 38. Find each number when one number is 8 more than the other number. Let x represent the larger of the two numbers and let y represent the smaller of the two numbers.

Let's look at what we know.

x+y=38

x=y+8

From here you can solve by substitution. Insert the value of x given in the second equation (y+8) into the first equation, so the new equation you are working with will look like this.

y+8+y=38

Solve for y, then plug that value into one of the equations above to solve for x.

Answer 2

Let's X and Y the 2 number

X+Y = 38.

X - Y = 8.

X = 23.

Y = 15.