Respuesta :

an even integer is represented as 2n where n is an integer. an odd integer is represented as 2n+1
all even numbers are 2 away from the next even number

all odd numers are 2 away from the next odd number so

the sum of 2 consecutive odd intergesrs s 100

consecutive odd=(2n+1)+(2n+1+2) and so on

so consecutive odd =100 so
2n+1+2n+1+2=100

4n+4=100

the closest equation is


the equation is 4n+4
odd integers -   2n+1
consecutive odd integers -   2n+1 + 2

equation 2x+1+2x+1+2=4n+4

[tex]4n+4=100\\ 4n=96\\ n=24\\\\ 2n+1=49\\ 2n+3=51\\ 49+51=100[/tex]

the integers are 49 and 51


Maja