# Equations to resolve Age Puzzle

Write and Solve System of Equations to resolve Age Puzzle

x = younger person = 9

y = you = 36

z = older person = 52

- 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.

- 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.