The difference between 2 numbers is 108. 6 times the smaller is equal to 2 more than the larger. Wh?

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The difference between 2 numbers is 108. 6 times the smaller is equal to 2 more than the larger. What are the numbers?

Let the smaller number be x. Let the larger number be y. We're given:

1. y - x = 108
2. 6x = y + 2

Rearrange (1) by adding x to each side:

1. y = x + 108

Substitute this into (2):
6x = x + 108 + 2

Combine like terms
6x = x +110

Subtract x from each side:
5x = 110

Plugging this equation into our search engine, we get:
x = 22