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Thread: Algebra. Trying to learn and need help.

  1. #1
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    Algebra. Trying to learn and need help.

    Tom is 12 years older then sonny. In five years will Tom be twice his age then what Sonny was 4 years ago.

    How old are they?

    Thanksnfor the help if ther is any 😅😘
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  2. #2
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    Re: Algebra. Trying to learn and need help.

    Let's use letters. For Tom, we will use T. For Sonny, we will use S. The word is means equals. Older than means plus.
    $\displaystyle \begin{matrix}\text{Tom} & \text{is} & 12\text{ years} & \text{older than} & \text{Sonny} \\ T & = & 12 & + & S\end{matrix}$

    $\displaystyle \begin{matrix}\text{In five years will} & \text{Tom} & \text{be} & \text{twice} & \text{the age than what} & \text{Sonny was 4 years ago} \\ \text{(5 +} & T\text{)} & = & 2\times & ( & S-4\text{)}\end{matrix}$

    This gives two equations:
    $\displaystyle T=12+S$
    $\displaystyle (5+T) = 2(S-4)$

    Do you know how to solve a system of two equations?
    Thanks from topsquark
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  3. #3
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    Re: Algebra. Trying to learn and need help.

    No, this is new to me.
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  4. #4
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    Re: Algebra. Trying to learn and need help.

    Is this a problem given to you by your math teacher?
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  5. #5
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    Re: Algebra. Trying to learn and need help.

    This is a task from a math book for "High School". Im studing on my own until i start school agine. Soo no, a teacher did not give me this math problem
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  6. #6
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    Re: Algebra. Trying to learn and need help.

    Quote Originally Posted by SlipEternal View Post
    Let's use letters. For Tom, we will use T. For Sonny, we will use S. The word is means equals. Older than means plus.
    $\displaystyle \begin{matrix}\text{Tom} & \text{is} & 12\text{ years} & \text{older than} & \text{Sonny} \\ T & = & 12 & + & S\end{matrix}$

    $\displaystyle \begin{matrix}\text{In five years will} & \text{Tom} & \text{be} & \text{twice} & \text{the age than what} & \text{Sonny was 4 years ago} \\ \text{(5 +} & T\text{)} & = & 2\times & ( & S-4\text{)}\end{matrix}$

    This gives two equations:
    $\displaystyle T=12+S$
    $\displaystyle (5+T) = 2(S-4)$

    Do you know how to solve a system of two equations?
    No, this is new to me. coud you help me sovle it?
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  7. #7
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    Re: Algebra. Trying to learn and need help.

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  8. #8
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    Re: Algebra. Trying to learn and need help.

    Quote Originally Posted by SlipEternal View Post
    Let's use letters. For Tom, we will use T. For Sonny, we will use S.
    When I was a teacher I discouraged language like that. You are really using "T" to represent Tom's age, not to represent "Tom". The same for "S". As we see at the end, "T" and "S" are numbers, not people!

    The word is means equals. Older than means plus.
    $\displaystyle \begin{matrix}\text{Tom} & \text{is} & 12\text{ years} & \text{older than} & \text{Sonny} \\ T & = & 12 & + & S\end{matrix}$

    $\displaystyle \begin{matrix}\text{In five years will} & \text{Tom} & \text{be} & \text{twice} & \text{the age than what} & \text{Sonny was 4 years ago} \\ \text{(5 +} & T\text{)} & = & 2\times & ( & S-4\text{)}\end{matrix}$

    This gives two equations:
    $\displaystyle T=12+S$
    $\displaystyle (5+T) = 2(S-4)$

    Do you know how to solve a system of two equations?
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