anonymous
  • anonymous
3. The sum of three consecutive even integers is 84. What is the least of these numbers? (Points : 1) -34 -30 -26 30
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
let x be the least of these numbers... since they're consecutive, the next one would be (x+2), and the next one after that is (x+4)... since their sum is 84, you can write it out as: x + (x+2) + (x+4) = 84 now all u gotta do is solve....
anonymous
  • anonymous
How do I solve that???
anonymous
  • anonymous
combine like terms and isolate x

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anonymous
  • anonymous
I dont know how to do that
anonymous
  • anonymous
x + x + x are all the same.. so add them up = 3x... same with the 4 2
anonymous
  • anonymous
now you should have 3x + 6 = 84. now you want your x term on one side of the equation and the numbers on the other side.
anonymous
  • anonymous
is it 18?
anonymous
  • anonymous
subtract 6 from both sides... thus 3x + 6 - 6 = 84 - 6
anonymous
  • anonymous
so 3x = 78. now you need to get rid of that 3.
anonymous
  • anonymous
How?
anonymous
  • anonymous
you can divide by the coefficient of x.. in this case 3. thus 3x/3 = 78/3
anonymous
  • anonymous
that will give you x = the result of 78/3
anonymous
  • anonymous
26? :)
anonymous
  • anonymous
oh wait -26?
anonymous
  • anonymous
yep.. now check.. 26, + 28 + 30?
anonymous
  • anonymous
i dont think someone can be negative years old.
anonymous
  • anonymous
positive 26 is NOT an option :(
anonymous
  • anonymous
what?
anonymous
  • anonymous
ooh i thought it was an age question. sorry
anonymous
  • anonymous
its ok :/
anonymous
  • anonymous
all those negatives dont make any sense...it is .. i think.. impossible for you to take a negative number with 3 consecutive even integers and add them up to 24.
anonymous
  • anonymous
and 30 doesnt work
anonymous
  • anonymous
Nope it was 30
anonymous
  • anonymous
I just got the answers
anonymous
  • anonymous
30+32+34 is 96?
anonymous
  • anonymous
good luck
anonymous
  • anonymous
thanks
anonymous
  • anonymous
30 + 32 + 34 \(\large \ne 84\) so the answer cannot be 30.... the answer to your question is 26... 26 + 28 + 30 = 84 looks like the correct choice is not there or the problem was mistyped... this is your orginal question: 3. The sum of three consecutive even integers is 84. What is the least of these numbers? (Points : 1) -34 -30 -26 30

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