Answer: The three numbers are 18, 20, 22
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Step-by-step 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.