# Math 126 Week 2 Essay

502 Words3 Pages
The two people I selected last week are my mom (60 years old) and the kid across the street Johnny Football (9 years old). I am also 24 years old so when I was born my mom was 36 years old. 60 current age of my mom - 24 my current age ------- 36 age of my mom when I was born We need to create an equation that models how old in years each of us will be when both of our ages add up to 150 years. To do this we will let “x” be equal to my age when the ages add up to 150. x + 36 + x = 150 (combine like terms) 2x +36 = 150 (subtract 36 from both sides) 2x = 114 (now divide by both sides by 2) x = 57 I will be 57 years old when the ages equal 150 years. We now need to figure out how old my mom will be when they ages are equal to 150 years. The oldest person will be my current age plus the age they were when I was born (x+36). x + 36 (age of my mom when I was born) = age of my mom when are ages equal 150 years. 57 (the age I will be when both ages equal a 150 years) +36 = 93 (the age my mom will be when our ages are equal to 150 years) 57 + 93 = 150 The older person (my mom) will be 93 years old when both of our ages are equal to 150 years. 24 my current age - 9 current age of Johnny Football ------- 15 my age when Johnny Football was born We need to figure out what age each of us will be or where when I was/or will be three times as old as Johnny Football. Again, we will set up an equation to solve this. To do this we will have “x” be equal to the age of the person who is currently 24 years old when they are/were three times older. 3 (x – 15) = x (we need to multiply x- 15 by 3) 3x – 45 = x (combine like terms and solve for x) 2x = 45 (to solve for x divide both sides by 2) x = 22.5 (the age of the 24 year old when they