## If I need to find 4 consecutive integers and the second and fourth equal 58 how do I find the first and third integers?

Question

If I need to find 4 consecutive integers and the second and fourth equal 58 how do I find the first and third integers?

in progress 0
2 weeks 2021-11-20T18:13:04+00:00 2 Answers 0

## Answers ( )

1. Answer: 27, 29

Step-by-step explanation:

Consecutive integers are as follows:

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

Fourth Integer: x + 3

The second and fourth = 58

x + 1    +      x + 3    = 58

2x + 4 = 58

2x       = 54

x       = 27

First Integer:  x              = 27

Third Integer: x + 2       = 27 + 2      = 29

2. Answer:

## 27, 29

Step-by-step explanation:

n, n + 1, n + 2, n + 3 – four consecutive integers

The equation:

(n + 1) + (n + 3) = 58

n + 1 + n + 3 = 58                combine like terms

(n + n) + (1 + 3) = 58

2n + 4 = 58             subtract 4 from both sides

2n = 54            divide both sides by 2

n = 27 – first

n + 1 = 28 – second

n + 2 = 29 – third

n + 3 = 30 – fourth