The sum of two numbers is 30. The larger number is 6 more than the smaller number. Find the two numbers

The answer is 24 and 6.

Let b>a

We are told that b=a+6 and that a+b=30

Using the value of b=a+6 in a+b=30 gives you:

a + (a+6) = 30 combining like terms on left side

2a+6=30 subtract 6 from both sides

2a=24 divide both sides by 2

a=12, and since b=a+6

b=18

So the two numbers are 12 and 18.