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Math Help - Decimal Places

  1. #1
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    Decimal Places

    A Homework Question That We Are Struggling With - Any Answers??
    1. Use The Clues To Find The Length Of Each Throw. Each Throw Is A Four Digit Number Of Metres.
    Part One
    *. The Tens Digit Is The Same As The Hundreths Digit.
    *. The Units Digit Is The Same As The Tenths Digit.
    *. The Units Digit Is Four Less Than The Tens Digit.
    *. The Sum Of The Digits Is 20.
    Part Two
    *. The Tens Digit Is Twice The Units Digit.
    *. The Units Digit Is The Same As The Tenths Digit.
    *. The Hundreths Digit Is Half The Tenths Digit.

    Find Another Possible Length To Fit These Clues.

    00.00 Can Anyine Fill In The Blanks Please!!! ??.??
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  2. #2
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    Quote Originally Posted by SARAHL View Post
    A Homework Question That We Are Struggling With - Any Answers??
    1. Use The Clues To Find The Length Of Each Throw. Each Throw Is A Four Digit Number Of Metres.
    Part One
    *. The Tens Digit Is The Same As The Hundreths Digit.
    *. The Units Digit Is The Same As The Tenths Digit.
    *. The Units Digit Is Four Less Than The Tens Digit.
    *. The Sum Of The Digits Is 20.
    ....
    Let the number be: ab.cd with b, c, d \in \{0, 1, 2, ..., 9\} and a \in \{1, 2, ..., 9\}

    From the wording of the problem you know:

    \left|\begin{array}{l}a = d\\b = c\\a = b+4\\a+b+c+d = 20\end{array}\right.

    Solve this system of simultaneous equations.

    I've got the number 73.37
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  3. #3
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    Quote Originally Posted by SARAHL View Post
    A Homework Question That We Are Struggling With - Any Answers??
    1. Use The Clues To Find The Length Of Each Throw. Each Throw Is A Four Digit Number Of Metres.
    Part One
    *. The Tens Digit Is The Same As The Hundreths Digit.
    *. The Units Digit Is The Same As The Tenths Digit.
    *. The Units Digit Is Four Less Than The Tens Digit.
    *. The Sum Of The Digits Is 20.
    Part Two
    *. The Tens Digit Is Twice The Units Digit.
    *. The Units Digit Is The Same As The Tenths Digit.
    *. The Hundreths Digit Is Half The Tenths Digit.

    Find Another Possible Length To Fit These Clues.

    00.00 Can Anyine Fill In The Blanks Please!!! ??.??
    I did this by algebra.

    1.)
    20 = 2x + 2(x-4)
    10 = x + x -4
    10 = 2x - 4
    14 = 2x
    x = 7

    So, the throw is 73.37m.

    2.)
    84.42m
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by SARAHL View Post
    A Homework Question That We Are Struggling With - Any Answers??
    1. Use The Clues To Find The Length Of Each Throw. Each Throw Is A Four Digit Number Of Metres.
    Part One
    *. The Tens Digit Is The Same As The Hundreths Digit.
    *. The Units Digit Is The Same As The Tenths Digit.
    *. The Units Digit Is Four Less Than The Tens Digit.
    *. The Sum Of The Digits Is 20.
    ok, so we are looking for a number of the form xy.yx where 0 \le x,y \le 9

    what clues do we have?

    well, the y = x - 4 we are told, so that is one equation to work with.

    we are also told that the sum of the digits is 20, so x + x + y + y = 20 is another equation we have to work with.

    solve this system simultaneously.


    try following the clues similarly for the second one



    EDIT: wow, i was really late with this
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  5. #5
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    Thank you

    thank you for your help - I feel very stupid not being able to work it out!!! Thanks again!!
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