Results 1 to 9 of 9

Math Help - high school algebra question

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    55

    high school algebra question

    Hey guys,

    Having a bit of trouble with this question.
    Any help would be greatly appreciated.
    Cheers.

    Can you add four consecutive whole numbers (e.g., 7, 8, 9, 10) to produce a
    multiple of 4? Show using algebra and explain your answer well.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,453
    Thanks
    1868
    Alright! High school algebra- one I just might be able to do!

    The key word here is consecutive. Let x be the smallest of the four numbers. Then the other three are x+ 1, x+ 2, and x+ 3. Add x+ (x+1)+ (x+ 2)+ (x+ 3). What do you get? What does x have to be for that to be a multiple of 4?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2010
    Posts
    9
    but than it isn't solved yet right?
    Or I am I wrong
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2010
    Posts
    9
    anyway good set up for the answer, Because it has been a while for me but I like those puzzles.
    am I right that if you simplify it to
    4x+6=4y
    and assume that x and y both have to be whole numbers
    You have the answer?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2008
    Posts
    55
    yeah i thought of the same start..

    x + (x+1) +(x+2)+(x+3) = what?

    4x + 6 = what?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Mar 2010
    Posts
    9
    4x+6=4y (4y because it has to be multiplied by 4)

    now try to simplify this one as well, so you don't have any whole number on the right hand of the equation

    x+6/4=y

    Still assuming that x and y have to be whole numbers.....
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Mar 2008
    Posts
    55
    thanks for that marnie!
    makes sense
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,453
    Thanks
    1868
    No, MarNie, that wasn't solved yet. I prefer not to do people's homework for them.

    Yes, it reduces to 4x+ 6= 4y which is, as you say, the same as 4y- 4x= 4(y-x)= 6 or y- x= 6/4= 3/2. Since y and x are integers, that is impossible.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Newbie
    Joined
    Mar 2010
    Posts
    9
    you're right, I sort of got caught up in it.
    It has been a while for me
    Last edited by MarNie; March 11th 2010 at 06:45 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: December 24th 2010, 06:48 PM
  2. high school algebra problem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 14th 2010, 06:53 PM
  3. High School Algebra
    Posted in the Math Forum
    Replies: 0
    Last Post: May 20th 2009, 02:49 PM
  4. Replies: 8
    Last Post: July 1st 2008, 05:41 PM
  5. High School Algebra
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 29th 2007, 01:16 AM

Search Tags


/mathhelpforum @mathhelpforum