The sum of two numbers is 60 one number is four times as large as the other. What are the numbers

Let's call the smaller number x.

The larger number is then 4x, since it is four times as large as the smaller number.

The sum of the two numbers is 60, so we can write the equation:
x + 4x = 60

Combining like terms, we get:
5x = 60

Dividing both sides of the equation by 5, we find:
x = 12

The smaller number is therefore 12.

The larger number is 4 times as large as the smaller number, so it is:
4 * 12 = 48

Therefore, the two numbers are 12 and 48.