SOLUTION: Older person 60 , 50, and 15 are the ages For example, if x = your age and the eldest person was a year older than you, you would write their age as x + 1. Then the equation would

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Question 550530: Older person 60 , 50, and 15 are the ages
For example, if x = your age and the eldest person was a year older than you, you would write their age as x + 1. Then the equation would be: x + (x+1) = 150.
Explain the reasoning which helped you develop your equation.
Solve for your future ages. Are your answers reasonable, do they add up to 150?
In years, how old were you when the youngest person was born?
At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person.
Explain the reasoning which helped you develop your equation.
Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?

Can you help with qriting this equations?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
Ages: 60 , 50, and 15
If x = your age and the eldest person is ten years older than you, you would write their age as x + 10. Then the equation would be: x%2B%28x%2B10%29=110.
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Explain the reasoning which helped you develop your equation.
((start with lowest age and find out how much older the eldest is from youngest. 60-15=45 so if x=50 then x+10=eldest x-35=youngest. so equation should be x%2B%28x%2B10%29%2B%28x-35%29=125))
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Solve for your future ages. Are your answers reasonable, do they add up to 150?
((no cause the ages dont add to 150 so its not possible))
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In years, how old were you when the youngest person was born?
((so x is now going to be x-15 so 50-15=35 years old))
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At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person.
(( highlight%2850%2By=3%2815%2By%29%29 ,50+y=45+3y , 5=2y , y=2.5years, check: 52.5/17.5=3 correct ))
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Explain the reasoning which helped you develop your equation.
((if (y) years is added to your age then that same (y) years has to be added to the youngest age in order to be an accurate future age. in the question it says that we want to know exactly when your age is 3 times the youngest age. so your future age should equal 3 times the youngest future age. your future age is 50+y and the youngest future age is 15+y.))
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Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?
((yes they are accurate)) you will be: 52.5 , he/she will be: 17.5