  # Word Problem - Age differences

Brandy 28
Casey 31
Logan 3

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.
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?

### Comments for Word Problem - Age differences

 Apr 17, 2011 Word Problem - Age differences by: Staff ------------------------------------------ Part II In years, how old were you when the youngest person was born? Age Difference: Brandy, current age - Logan, current age = 28 - 3 = 25 years Brandy was 25 years old the year Logan was born. Logan, year born: 2011 – 3 = 2008 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. Brandy = 3*Logan Logan = Brandy - 25 Brandy = 3*(Brandy - 25) Logan + 25 = Brandy Logan + 25 = 3*Logan The final two equations are: Brandy = 3*(Brandy - 25) Logan + 25 = 3*Logan Explain the reasoning which helped you develop your equation. Three times Logan’s age must = Brandy’s age Brandy = 3*Logan Logan is 25 years younger than Brandy Logan = Brandy - 25 Substitute (Brandy - 25) for Logan’s age Brandy = 3*Logan Brandy = 3*(Brandy - 25) Brandy is 25 years older than Logan Brandy = Logan + 25 Substitute (Logan + 25) for Brandy’s age Brandy = 3*Logan Logan + 25 = 3*Logan Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable? Brandy = 3*Brandy - 75 Brandy + 75 = 3*Brandy - 75 + 75 Brandy + 75 = 3*Brandy + 0 Brandy + 75 = 3*Brandy Brandy - Brandy + 75 = 3*Brandy - Brandy 0 + 75 = 3Brandy - Brandy 75 = 2*Brandy 75/2 = 2*Brandy/2 75/2 = Brandy*(2/2) 75/2 = Brandy*(1) 75/2 = Brandy 37.5 = Brandy Logan + 25 = 3*Logan Logan - Logan + 25 = 3*Logan - Logan 0 + 25 = 3*Logan - Logan 25 = 3*Logan - Logan 25 = 2*Logan 25/2 = 2*Logan/2 25/2 = Logan*(2/2) 25/2 = Logan*(1) 25/2 = Logan 12.5 = Logan Final Answer: Logan, age = 12.5 years; Brandy, age = 37.5 years 3*12.5 = 37.5 Thanks for writing. Staff www.solving-math-problems.com

 Oct 12, 2011 help solving math problem and how and why i want to learn not just get answer by: Anonymous my age 33 grandpa joe's age ( the age older than me by 57 years ). This is what I got so far: x + (x + 57) = 150 he was 57 years old when I was born

 Oct 12, 2011 help solving math problem and how and why i want to learn not just get answer by: Anonymous my age 33 grandpa joe's age ( the age older than me by 57 years ). This is what I got so far: x + (x + 57) = 150 he was 57 years old when I was born

 Oct 12, 2011 Solve Equation for Age by: Staff my age 33 grandpa joe's age ( the age older than me by 57 years ). This is what I got so far: x + (x + 57) = 150 he was 57 years old when I was born ------------------------------------------------- Your equation is correct. x + (x + 57) = 150 Combine like terms (x + x) + 57 = 150 (2x) + 57 = 150 2x + 57 = 150 Eliminate the 57 from the left side of the equation by subtracting 57 from both sides of the equation. 2x + 57 - 57 = 150 - 57 2x + 0 = 150 – 57 2x = 150 - 57 2x = 93 Eliminate the 2 on the left side of the equation by dividing each side of the equation by 2 2x/2 = 93/2 x*(2/2) = 93/2 x*(1) = 93/2 x = 93/2 x = 46.5 When your age is 46.5, your grandfather’s age will be 103.5 At that point the sum of your two ages will be 150 Thanks for writing. Staff www.solving-math-problems.com

 Oct 16, 2011 solving math problems word problems and age difference by: lynn I need help so bad. I have been trying to solve this problem for days. My age is 33 grandpa's age 90(who is the person older than me) Lisa's age is: 14 (who is younger than me. When I was born, the age of the older person = 90 – 33 = 57 years old. Let my future age be (x) years old. x + (x + 57) = 150 This equation has been obtained by adding my age with grandpa's age, who is older than me (by 57 years) . Since he is 57 years older than me, his age, in terms of x, will be x + 57. By simplifying the above equation, it would be presented as follows: x + x + 57 = 150 2x + 57 = 150 By solving the equation, it would be presented as follows: 2x + 57 = 150 2x = 150 – 57 2x = ? X = ?/2 X = ? not sure i am stuck years old. In conclusion, my answers would be reasonable or not?. not sure of my new age to solve this part of problem in order to equal 150 33 – 14= 19 years. When the youngest person was born, I was 19 years old. My age will be three times her age during that time. The equation is x = 14(x – 19) In the above equation, my age is represented by x. Since I am 19years older than the youngest person, her age will be x – 19. Afterwards, the equation would be formed on the basis of the given condition. x = 3(x – 19) x = 3x – 57 3x – x = 57 2x = ? x = ?/2 x = ? My age is ? years old. Lisa's age = 14 – ? = ?years. In conclusion, the results are not reasonable or not? I am aware that the future ages can not be less than the present ages. please help