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### Math Puzzles & Brain Teasers

Old Man Wrinkle View Puzzle Solve Puzzle
 Hide all answers   View all answers   Print   Try the Quiz Man Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If Man Wrinkle spent 11 years as an old man, then how many years did he spend as an active man? Answer: 44 Solution: Fraction of life as a boy = 1/4 Fraction of life as a youth = 1/8 Fraction of life as an active man = 1/2 Fraction of life as boy, youth and active man = 1/4 + 1/8 + 1/2 = (2 + 1 + 4)/8 = 7/8 Fraction of life as an old man = 1 − 7/8 = 1/8 Thus, one-eighth of Man Wrinkle's life (as an old man) is 11 years. So, Man Wrinkle's Age = 88 years. It may be noted that: Life as boy = 88/4 = 22 years. Life as youth = 88/8 = 11 years. Life as active man = 88/2 = 44 years. Life as old man = 88/8 = 11 years. The problem may also be solved by setting up the following equation: a/4 + a/8 + a/2 + 11 = a where a denotes Man Wrinkle's age in years. The equation may be solved as shown below. 7a/8 + 11 = a 11 = a − 7a/8 = a/8 a/8 = 11 or a = 88. Therefore, life spent as active man = 88/2 = 44 years. Food for thought: Wish to try another puzzle similar in concept to this one? Then click here.   Try the Quiz :     Puzzles & Brain Teasers : Old Man Wrinkle 