Name: ___________________ Date:___________________ 

Example: Twentyfive years ago, Hailey was five more than onethird as old as Jason was. Today, Jason is twentysix less than two times the age of Hailey. How old is Jason? Solution: Let 'j' and 'h' are present ages of Jason and Hailey. Twentyfive ago their ages are j25 and h25 Twentyfive years ago, Hailey was five more than onethird as old as Jason was can be written as: h  25 = 1/3 (j25) + 5 Today, Jason is twentysix less than two times the age of Hailey: j = 2h  26 h  25 = 1/3 (j25) + 5 j = 2h  26 h  25 = 1/3 (j25) + 5 h  30 = 1/3 (j25) 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 = t12 Solve: r = t12 r = 2r  12 12 = 2r  r 12 = r h = 5r = 5x12 = 60 Harry is 60 years old. Directions: Solve the following word problems. 