The larger of two numbers is eight more than the smaller number. The sum is twenty two. Find the numbers.

Da numbers are x and y

x>y

larger is 8 more than smaller

x=8+y

sum is add so

x+y=22

sub 8+y=x

8+y+y=22

8+2y=22

2y=14

y=7

sub back

8+y=x

8+7=x

15=x

da numbers are 7 and 15

Let's call the larger number a and the smaller number b.

a + b = 22

a - 8 = b

Since we have determined that a - 8 is the same as b, we can substitute it into the original equation:

a + (a - 8) = 22

2a - 8 = 22

2a = 30

a = 15

Now that we have the larger number, let's find the smaller number:

15 - 8 = b

7 = b

Let's see if this is true:

15 + 7 = 22

22 = 22