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Math Help - Grid problem

  1. #1
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    Grid problem

    Hi all,
    I have a small question that I wish you can help me solve.
    I have circled the questions that I cannot answer...(The question is attached)

    Please show me the method of how to get the answer, which should be:
    d (ii) g= x+2n and i= x+2+2n
    d (iii) 4n

    Thanks
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  2. #2
    Newbie Auri's Avatar
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    I might have no idea what I'm saying but here goes. n = 5. Since the 3 X 3 grid is chosen from the 5 x 5 grid or 3 x 3 grid is chosen from the n x n grid. If g = 11, and x = 1, then x+2n or 1+2(5) = 11. And if i = 13. Then x+2+2n or 1+2+2(5) = 13. Since cg-xi = 20, and n = 5, then 4n or 4(5) equals 20.

    I hope that helped?
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  3. #3
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    start from the point "x" in an nxn grid.

    going "down one" will increase the number by n
    going "right one" will increase the number by 1

    Can you use this information to solve the problem?


    Edit:not quite sure why i posted that since previous poster seems to have solved the problem :P
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  4. #4
    Newbie Auri's Avatar
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    Quote Originally Posted by SpringFan25 View Post
    start from the point "x" in an nxn grid.

    going "down one" will increase the number by n
    going "right one" will increase the number by 1

    Can you use this information to solve the problem?


    Edit:not quite sure why i posted that since previous poster seems to have solved the problem :P
    Your answer seems to make more sense x+2n or x, and 2 down.
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  5. #5
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    Thanks you!
    I appreciate both your help
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  6. #6
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    Quote Originally Posted by SpringFan25 View Post
    start from the point "x" in an nxn grid.
    going "down one" will increase the number by n
    going "right one" will increase the number by 1
    I have a small doubt....
    so now this formula (x+2n) can give me g in any grid, lets substitute this formula for a 3x3 grid. where n=3
    1+3(3)=7, but it should be 11, why doesn't this formula work this way, it only works for the 5x5.

    thanks
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  7. #7
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    The 3x3 grid contains numbers from 1 to 9, so g cant possibly be 11.

    in fact, there is only 1 way to take the 3x3 square from a 3x3 grid, which is this:

    \begin{array}{lll}1 & 2 & 3\\4&5&6\\7&8&9\\\end{array}

    g is 7 as predicted by the formula.
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  8. #8
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    Quote Originally Posted by SpringFan25 View Post
    The 3x3 grid contains numbers from 1 to 9, so g cant possibly be 11.

    in fact, there is only 1 way to take the 3x3 square from a 3x3 grid, which is this:

    \begin{array}{lll}1 & 2 & 3\\4&5&6\\7&8&9\\\end{array}

    g is 7 as predicted by the formula.
    ow, now I get it.
    i don't know what I was thinking..... stupid me!
    I really appreciate your help
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