Old Man Wrinkle puzzle
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 9 years as an old man, then how many years did he spend as an active man?
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 9 years.
So, Man Wrinkle’s Age = 72 years.
It may be noted that:
Life as boy = 72/4 = 18 years.
Life as youth = 72/8 = 9 years.
Life as active man = 72/2 = 36 years.
Life as old man = 72/8 = 9 years.
The problem may also be solved by setting up the following equation: a/4 + a/8 + a/2 + 9 = a
where a denotes Man Wrinkle’s age in years.
The equation may be solved as shown below.
7a/8 + 9 = a
9 = a − 7a/8 = a/8
a/8 = 9 or a = 72.
Therefore, life spent as active man = 72/2 = 36 years.
More puzzles to try-
What is the logic behind these ?3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »
Defective stack of coins puzzleThere are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »
Which clock works best?Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »
(Advanced) Cheryl’s Birthday PuzzlePaul, Sam and Dean are assigned the task of figuring out two numbers. They get the following information: Both numbers ...Read More »
Five greedy pirates and gold coin distribution PuzzleFive puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »
Magical flowers!!A devotee goes to three temples, temple1, temple2 and temple3 one after the other. In front of each temple, there ...Read More »
Tuesday, Thursday what are other two days staring with T?Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »
How could only 3 apples leftTwo fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »
How Many Eggs ?A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »
HARD MATHS – How much faster is one train from other PuzzleTwo trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination ...Read More »
Most Analytical GOOGLE INTERVIEW Question RevealedLet it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »
Lateral thinking sequence PuzzleSolve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »
How did he know?A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »
Pizza Cost Math Brain TeaserJasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »
Which letter replaces the question markWhich letter replaces the question markRead More »
Which room is safest puzzleA murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »
Richie’s Number SystemRichie established a very strange number system. According to her claim for different combination of 0 and 2 you will ...Read More »
Srabon wanted to passThe result of math class test came out. Fariha’s mark was an even number. Srabon got a prime!! Nabila got ...Read More »
Become Normal!!Robi is a very serious student. On the first day of this year his seriousness for study was 1 hour. ...Read More »
Sakib Knows The Number!Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »