There are 2 consecutive integers. Twice the first increased by the second yields 16. What are the nu

There are 2 consecutive integers. Twice the first increased by the second yields 16. What are the numbers?

Let x be the first integer. y = x + 1 is the next integer. We have the following givens:

1. 2x + y = 16
2. y = x + 1

Substitute (2) into (1)
2x + (x + 1) = 16

Combine x terms
3x + 1 = 16

Subtract 1 from each side
3x = 15

Divide each side by 3
x = 5

So the other integer is 5 + 1 = 6