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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation3.9 Word Problems - Age

 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.
 Q 1: Harry is 12 years older then Mike. Together their ages add up to 48. How old is each? (Hint: Let h = Harry's age and m=Mikes age, Harry is 12 years older than mike: h = m + 12, together their ages sum to 48: h + m = 48, solve for h and m)Mikes age is 18 and Harry's age is 30.Mikes age is 20 and Harry's age is 32.Mikes age is 16 and Harry's age is 28. Q 2: Sally is 4 years older than three times Dan's age. If Sally is 28 years old, how old is Dan? (Hint: s = 3d+4, s=28 find d)867 Q 3: Greg is twice as old as Jason. Together, their ages add up to 48. How old is Greg? (Hint: Let j = Jason's age and g = Greg's age, Greg is twice as old as Jason: g = 2j, together their ages add up to 48: g + j = 48 solve for g)283216 Q 4: Pat is 39 years old. She is 1 year less than twice Mike's age. How old is Mike? (Hint: p = 39, p=2m-1 find m = ?)182220 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!