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Katarina [22]
3 years ago
8

Find three consecutive even numbers who’s sum is 60.

Mathematics
2 answers:
kati45 [8]3 years ago
6 0

Answer:

18,20,22

Step-by-step explanation:

18,20,22 are consecutive even numbers that sum to equal 60.

alekssr [168]3 years ago
6 0
<h3>Answer: The three numbers are 18, 20, 22</h3>

==========================================================

Explanation:

Consecutive numbers are numbers like {4,5,6}, so they are numbers that follow right after another. Consecutive even numbers are numbers like {4,6,8} meaning they are even and follow one after another.

Let,

x = some even number

x+2 = next even number after x

x+4 = next even number after x+2

Add up the numbers mentioned, set the sum equal to 60, and solve for x.

(x)+(x+2)+(x+4) = 60

x+x+2+x+4 = 60

(x+x+x)+(2+4) = 60

3x+6 = 60

3x = 60-6

3x = 54

x = 54/3

x = 18 is the first even number

x+2 = 18+2 = 20 is the next even number

x+4 = 18+4 = 22 is the third even number

As a check,

18+20+22 = 60

which confirms our answer.

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