Thursday, November 25, 2010

Number Problem 10 Solution

This is number problem 10 solution which read:

"Find 3 consecutive even integers such that 4 times the first is decreased by the second is 12 more than twice the third. " Ok I'm not understading the "is decreased by the" part so I assume it was a typo and you just meant "Find 3 consecutive even integers such that 4 times the first is 12 more than twice the third. "
 
ok 3 consecutive even integers would b x, x + 2, and x + 4

4 times the 1st would be just 4x and is equal to 12 more than twice the 3rd which would be (x + 4) * 2 + 12

which is...  4x = (x+4)*2 + 12

4x = 2x + 8 + 12

2x = 20

x = 10  So the answer would be 10, 12, 14   to check  4(10)  =  (14)*2 + 12

40 = 28 + 12

40 = 40

13 comments:

  1. maybe it should be this way
    x=1st integer
    x+2= 2nd integer
    x+4= 3rd integer

    4x-x+2=12+(x+4)2
    3x+2=12+2x+8
    3x+2=20+2x
    3x-2x=20-2
    x = 18

    but im not really sure w/ dis one

    ReplyDelete
    Replies
    1. it can't be 18 cuz

      4*18=72

      18+4=22
      22*2=44
      44+12=56

      72 doesn't=56

      Delete
  2. The question doesn't make sense as written i think it was a typo so i just solved the question i think they meant to say.

    ReplyDelete
  3. This question is bad. I got a different answer to both the poster and the commenter above.

    x, x + 2, x + 3

    "4 times the first is decreased by the second" -

    4x - (x + 2)

    "is 12 more than twice the third"

    4x - (x + 2) = 2(x + 4) + 12

    4x - x - 2 = 2x + 8 + 12

    3x - 2 = 2x + 20

    x = 22

    Validating -

    4(22) - (22 + 2) = 2(22 + 4) + 12

    88 - 22 - 2 = 44 + 8 + 12

    64 = 64

    Hope this helps.
    - Damon

    ReplyDelete
  4. "4 times the first is decreased by the second" --- -is too vague -- in my problem i corrected it to what i believe the poster meant to ask it and makes more sense as a question and thus the answer but thanks for your input though...

    ReplyDelete
  5. Wrong translation sir...

    ReplyDelete
  6. this site is the best

    ReplyDelete
  7. I agree with the one who answered 22, 24, 26 coz we've got the same answer and checking, re stating the problem as "Find 3 consecutive even integers such that 4 times the 1st decreased by the second is 12 more than twice the 3rd.

    ReplyDelete
  8. I agree with anonymous' translation as well. --- That's probably what was meant. I answered a different problem, but I will keep that and people can reference both that way. Thanks for the input!

    ReplyDelete


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