
Example: If Leslie is 5 years older than Wilma and Wilma is 16 years old, how old is Leslie? Solution: Let 'w' stand for Wilma's age and let 'l' stand for Leslie's age Given: w = 16 Leslie is 5 years older than Wilma: l = w + 5 = 16 + 5 = 21 Example: Susan is sixteen years older than Bob, and next year she will be twice as old as Bob. How old are they now? Solution: Let 's' stand for Susan's present age and 'b' stand for Bob's present age Susan is ten years older than Bob, the equation can be written as s = 10 + b Next year Susan will be s+1 years and Bob will be b + 1 years "next year Susan will be twice as old as Bob" can be written in equation form as s + 1 = 2 (b + 1) solving both equations s = 16 + b s + 1 = 2 (b + 1) 16 + b + 1 = 2 (b + 1) b + 17 = 2 b + 2 17  2 = 2 b  b 17  2 = 2 b  b 15 = b s = 16 + b = 16 + 15 = 31 Bob is 15 years and Susan is 31 years of age. Directions: Solve the following word problems. First write the equation and then solve. 