Question 156715
"consecutive even numbers" are integers such as 2, 4, 6, 8, 10, etc. Algebraically, they follow the pattern {{{2x}}}, {{{2x+2}}}, {{{2x+4}}}, etc


So if "The sum of three consecutive even numbers is 150", then the equation is 



{{{2x+2x+2+2x+4=150}}}



{{{6x+6=150}}} Combine like terms on the left side.



{{{6x=150-6}}} Subtract {{{6}}} from both sides.



{{{6x=144}}} Combine like terms on the right side.



{{{x=(144)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



{{{x=24}}} Reduce.



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{{{2x}}} Go back to the expression that represents the first number



{{{2(24)}}} Plug in {{{x=24}}}



{{{48}}} Multiply. So the first number is 48



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{{{2x+2}}} Go back to the expression that represents the second number



{{{2(24)+2}}} Plug in {{{x=24}}}



{{{48+2}}} Multiply. 



{{{50}}} Add. So the second number is 50




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{{{2x+4}}} Go back to the expression that represents the third number



{{{2(24)+4}}} Plug in {{{x=24}}}



{{{48+4}}} Multiply. 



{{{52}}} Add. So the third number is 52



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Answer:


So the three consecutive even numbers is 48, 50, and 52



Check:


1) 

they are consecutive even integers...check


2)  

48+50+52=150

150=150 ... works