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anonymous

  • one year ago

Juwan is 7 years older than Molly. In 5 years the sum of their ages will be 53. How old is Juwan now?

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  1. PhantomCrow
    • one year ago
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    Do you have an idea of what type of problem this may be?

  2. anonymous
    • one year ago
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    I believe it is an application problem using algebra

  3. PhantomCrow
    • one year ago
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    Yes! Do you know what specific concept of algebra?

  4. anonymous
    • one year ago
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    Well here's the information I got with it; Solve application problems involving consecutive integers, geometry, percents, and uniform motion with one unknown.

  5. PhantomCrow
    • one year ago
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    The way I solved it is by setting up a system of equations.

  6. anonymous
    • one year ago
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    Okay so how would I do that?

  7. PhantomCrow
    • one year ago
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    \[J=M+7, (J+5)+(M+5)=53\]

  8. PhantomCrow
    • one year ago
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    Because Juwan is seven years older that Monica, hence J=M+7 and the sum of their ages will be 53 in 5 years (5 plus their current age). Now, you may use the substitution method to solve for their age.

  9. anonymous
    • one year ago
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    Okay what is the substitution method?

  10. anonymous
    • one year ago
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    j+5+m+5=53 if j=m+7 then the substitution method is to put m+7 in j's place so m+7+5+m+5=53 2m+17=53 -17 -17 2m=36 m=18 right now m=18 and j=25

  11. anonymous
    • one year ago
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    Juwan is 25 years old.

  12. anonymous
    • one year ago
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    The substitution method basically means that if two things are equal, you can swap them. For example, if the equation is b=a+2 and you knew that b=3, you could change the problem to 3=a+2 in order to solve for a=1. Does that make sense?

  13. anonymous
    • one year ago
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    I get it now, thank you so much

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