The sum of three consecutive even integer was is 30 more than the largest. What are the three consecutive even integers

Step-by-step explanation:

First we have to write the given data in mathematical terms.

this would be 2n, 2n+2 and 2n+4

So

2n+2n+2 tells us that it would be 30

so 4n+2=30

30-2=28 as + 2-2 makes 0

4n=28

divide by 4

n=7

we have found n meaning we can substitute to the equations

so 2n=2*7 is 14

2n+2 is 2*7+2=16

2n+4 is 2*7+4 is 18

Therefore the three consecutive numbers are:

14,16 and 18