197k views
3 votes
The sum of four consecutive even numbers is 2740. What is the largest of these numbers

User Jneander
by
7.9k points

1 Answer

5 votes
even consecutive integers are 2 apart
they are
x,x+2,x+4,x+6

sum is 2740

x+x+2+x+4+x+6=2740
4x+12=2740
minus 12 both sides
4x=2728
divide both sides by 4
x=682
x+2=684
x+4=686
x+6=688

the largest is 688
User Errantlinguist
by
8.1k points

Related questions

1 answer
1 vote
25.2k views
asked Jan 21, 2024 211k views
Enrico Cortinovis asked Jan 21, 2024
by Enrico Cortinovis
8.8k points
1 answer
2 votes
211k views