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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation3.14 Word Problems - Age - 6

 Example: Twenty-five years ago, Hailey was five more than one-third as old as Jason was. Today, Jason is twenty-six less than two times the age of Hailey. How old is Jason? Solution: Let 'j' and 'h' are present ages of Jason and Hailey. Twenty-five ago their ages are j-25 and h-25 Twenty-five years ago, Hailey was five more than one-third as old as Jason was can be written as: h - 25 = 1/3 (j-25) + 5 Today, Jason is twenty-six less than two times the age of Hailey: j = 2h - 26 h - 25 = 1/3 (j-25) + 5 j = 2h - 26 h - 25 = 1/3 (j-25) + 5 h - 30 = 1/3 (j-25) 3h - 90 = j - 25 3h = j - 25 + 90 3h = j + 65 substituting j = 2h - 26 in the above equation we have 3h = 2h - 26 + 65 3h - 2h = - 26 + 65 h = 39 j = 2h - 26 = 2 x 39 - 26 = 52 Jason is 52 years and Hailey is 39 years old. Example: Harry is five times as old as Ron. Tom is twice as old as Ron. Ron is twelve years younger than Tom. How old is Harry? Solution: Let 'h' 'r' and 't' be the present ages of Harry, Ron and Tom respectively. Given: h = 5r t = 2r r = t-12 Solve: r = t-12 r = 2r - 12 12 = 2r - r 12 = r h = 5r = 5x12 = 60 Harry is 60 years old. Directions: Solve the following word problems.
 Q 1: Allison is 8 years older than Cathy. Twenty years ago Allison was three times as old as Cathy. How old is each now?Cathy's age is 12 and Allison's age is 24Cathy's age is 24 and Allison's age is 32Cathy's age is 12 and Allison's age is 36 Q 2: Dad is four times as old as his son. In three years, the father will be three times as old as his son. How old is each now?son's age is 8 and dad's age is 32son's age is 6 and dad's age is 24son's age is 5 and dad's age is 20 Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!