Question 97626
Remember, consecutive even integers are integers that are two units apart. So if x is the first number, then x+2 is the second, and x+4 is the third. 


So the sum of three even consecutive integers is {{{x+(x+2)+(x+4)}}}






{{{x+(x+2)+(x+4)=225}}} Set the sum equal to 225





{{{3x+6=225}}} Combine like terms on the left side



{{{3x=225-6}}}Subtract 6 from both sides



{{{3x=219}}} Combine like terms on the right side



{{{x=(219)/(3)}}} Divide both sides by 3 to isolate x




{{{x=73}}} Divide


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Answer:

So our first number is {{{x=73}}} 



which means our second number is {{{73+2=75}}} and our third number is {{{73+4=77}}}




So the 3 numbers are 



73, 75, 77