Results 1 to 3 of 3

Math Help - Find the Numbers

  1. #1
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    Find the Numbers

    A number equals the sum of two other numbers. The largest number diminished by 2 equals three times the smallest. The largest increased by 2 equals twice the result of diminishing the middle number by 2. Find the numbers.

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    Suppose the numbers are positive.
    Let x,y,z be the numbers with x>y>z.
    Since they're positive, it is obvious that x=y+z.

    The largest number diminished by 2 equals three times the smallest.
    x-2=3z ====> x=3z+2

    The largest increased by 2 equals twice the result of diminishing the middle number by 2.
    x+2=2(y-2) ====> x=2y-6


    Solve the system :

    \left\{\begin{array}{lll} x=y+z \\ x=3z+2 \\ x=2y-6 \end{array} \right.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    ok...

    Quote Originally Posted by Moo View Post
    Hello,

    Suppose the numbers are positive.
    Let x,y,z be the numbers with x>y>z.
    Since they're positive, it is obvious that x=y+z.


    x-2=3z ====> x=3z+2


    x+2=2(y-2) ====> x=2y-6


    Solve the system :

    \left\{\begin{array}{lll} x=y+z \\ x=3z+2 \\ x=2y-6 \end{array} \right.
    This is a tricky one. Thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find all numbers x
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: January 24th 2010, 01:51 PM
  2. find numbers
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: November 24th 2009, 03:40 PM
  3. Replies: 3
    Last Post: September 23rd 2009, 12:04 PM
  4. Replies: 2
    Last Post: April 30th 2009, 06:28 AM
  5. Find All Numbers x
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 4th 2008, 09:07 AM

Search Tags


/mathhelpforum @mathhelpforum