Answer:28,30,32
Step-by-step explanation:
The sum of three consecutive even integers is 90. Find the Integers.
N= first even number we need to find
N+2= second even number
N+4= third even number
90= is the sum of all 3 even integers
N+n+2+n+4=90
Add all n together
3n+2+4=90
Add 2 plus 4
3n+6=90
Subtract 6 bith sides
3n=90-6
Subtract 90 from 6
3n= 84
Divide 3 both sides
3n/3=84/3
Divide 84 by 3 to solve for n
N= 28
So furst even number is 28. Now to find second and third number substitute 28 into the bext two equations .
N+2=? For second numb.
28+2=30 second number
N+4=? For third number
28+4=32 for third number
To check add all 3 answers
28+30+32=90
58+32=90
90=90 it checks
So three even numbers are 28,30,32
