Question 97310
Let x=1st number, x+2=2nd number



{{{x+(x+2)=36}}} "two consecutive even numbers whose sum is 36"


{{{2x+2=36}}} Combine like terms on the left side



{{{2x=36-2}}}Subtract 2 from both sides



{{{2x=34}}} Combine like terms on the right side



{{{x=(34)/(2)}}} Divide both sides by 2 to isolate x




{{{x=17}}} Divide


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Answer:

So our first number is {{{x=17}}} 



That means our second number is {{{17+2=19}}}


So our two numbers are:


17 and 19




Check:



{{{17+19=36}}} Add up the two numbers


{{{36=36}}} works