If the sum of 3 consecutive even integers is 30 how do you find the numbers?

2 Answers
Sep 6, 2015

The three numbers are 9, 10, and 11

Explanation:

Let n be the smallest of the three consecutive numbers
rarr the other two numbers are n+1 and n+2

We are told
color(white)("XXX")(n) + (n+1) + (n+2) = 30

rarr color(white)("XX")3n+ 3 = 30

rarr color(white)("XX")3n = 27

rarr color(white)("XX")n = 9

Sep 6, 2015

8, 10 and 12

Explanation:

We can define an even number as 2x

Let 2x be the first even number

Let 2x+2 be the next even number

Let 2x+4 be the last one

Their sum is 30 so we write

2x+(2x+2)+(2x+4)=30

Combining like terms

6x+6=30

6x=24

x=4

So

2x=2(4)=8

2x+2=8+2=10

2x+4=8+4=12