Could someone please help me solve this problem, the age numbers that I am working with are 10yrs old 55yrs old and 75yrs. old. I need to know at my age of 55, in years, how old was the older person of 75 when I was born?

Could you please write an equation that models how old in years each of us will be, when our ages add up to 150 years old. 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?

You question is not clear.

Are all these age problems based on the 10 year old, 55 year old and 75 year old or are these separate problems?

Are these ages three different people?

For example, "at my age of 55, in years, how old was the older person of 75 when I was born?"

Based on this wording, my answer to you would be,
75 - 55 = 20
The older person was 20 when you were born 55 years ago.

How old in years each of us will be, when our ages add up to 150 years old?
x = 10yo
x + 45 = 55yo
x + 65 = 75yo
x + x + 45 + x + 65 = 150
3x + 110 = 150
3x = 40
x = 13.33

x = 13.33 = age of 10yo
x + 45 = 58.33 = age of 45yo
x + 65 = 78.33 = age of 75yo

In years, how old were you when the youngest person was born?
55 - 10 = 45

Is this what you are looking for?

Refer back to Week One Discussion and use the names and ages of yourself and the other two people you selected. Make sure one is older than you and one is younger than you.

In years, how old was the older person when you were born?
Write an equation that models how old in years each of you will be, when your ages add up to 150 years old. 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?
Respond to at least two of your classmates’ postings. Check their equations and investigate for mathematical errors. Help with a constructive critique.

To find out how old the older person was when you were born, you can subtract your current age (55) from their current age (75).

75 (older person's age) - 55 (your age) = 20 years

Therefore, the older person was 20 years old when you were born.

Now, let's move on to the next question about an equation for when the ages of three people add up to 150.

Let's call your age x. According to the given information, the older person's age is x + 20 (since they are 20 years older than you) and the youngest person's age is x - (55 - 10) = x - 45 (since you are 45 years older than the youngest person).

When we add all three ages together, we get:

x + (x + 20) + (x - 45) = 150

Simplifying this equation, we have:

3x - 25 = 150

Now, we can solve for x. Add 25 to both sides of the equation:

3x = 175

Divide both sides by 3:

x = 58.33 (rounded to two decimal places)

So, your current age is approximately 58.33 years.

Next, let's find out how old you were when the youngest person was born.

The youngest person is currently 10 years old. Since you are 45 years older than the youngest person, you can subtract those 45 years from your current age:

58.33 - 45 = 13.33 (rounded to two decimal places)

So, you were approximately 13.33 years old when the youngest person was born.

Moving on to the next question: when will your age be three times the age of the youngest person?

Let's call the youngest person's age y. So, when you are three times their age, your age will be 3y.

Using the same logic as before, the equation becomes:

3y - (x - 45) = x

Substituting the value of x we previously found:

3y - (58.33 - 45) = 58.33

Simplifying the equation, we have:

3y - 13.33 = 58.33

Adding 13.33 to both sides, we get:

3y = 71.66

Dividing both sides by 3:

y = 23.89 (rounded to two decimal places)

Hence, when you are approximately 71.66 years old, the youngest person will be approximately 23.89 years old. These answers seem reasonable given the given information and the calculations we performed.