Question

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.

A.y = 2x + 5
B..y = -1/2x + 5
C..y = 1/2x + 5
D.2x-19

Answer 1

The linear equation that models this situation is
`n+(n+1)=59`

The integers are 29 and 30

Explanation:

Let

n -----> the first integer

n+1 ----> the second consecutive integer

we know that

The linear equation that models this situation is

`n+(n+1)=59`

Solve for n

Combine like terms left side

`2n+1=59`

Subtract 1 both sides

`2n+1-1=59-1`

`2n=58`

Divide by 2 both sides

`n=29`

Find the value of (n+1)

`n+1=29+1`

so

`n+1=30`

therefore

The integers are 29 and 30