Answer:
The linear equation that models this situation is [tex]n+(n+1)=59[/tex]
The integers are 29 and 30
Step-by-step explanation:
Let
n -----> the first integer
n+1 ----> the second consecutive integer
we know that
The linear equation that models this situation is
[tex]n+(n+1)=59[/tex]
Solve for n
Combine like terms left side
[tex]2n+1=59[/tex]
Subtract 1 both sides
[tex]2n+1-1=59-1[/tex]
[tex]2n=58[/tex]
Divide by 2 both sides
[tex]n=29[/tex]
Find the value of (n+1)
[tex]n+1=29+1[/tex]
so
[tex]n+1=30[/tex]
therefore
The integers are 29 and 30
