The difference of two numbers is 15. the larger number is 1 more than 3 times the smaller number. what are the two numbers?

7, 22

Step-by-step explanation:

Let S = the smaller number.

"The larger number is 1 more than 3 times the smaller number."

The larger number is 3S + 1.

The difference between the numbers is 15, so the larger number minus the smaller number equals 15.

3S + 1 - S = 15

2S + 1 = 15

2S = 14

S = 7

The smaller number is 7.

larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22

The larger number is 22.