We often find something that is years old and spend hours on it. A similar case is that of Henry, who found a series of exciting mathematical puzzles in his school diary. Can you help him solve these math puzzles?
When was the last time you cleaned your room and closets? No, we’re not out to teach you a lesson or two about cleanliness, organization, and space management. This was just an innocent question we intended to ask you. When was the last time you cleaned your room?
Well, cleaning a room is a tiring task, but the fun thing is that many times you can put on your favorite music and dance your heart out with the dusty decorations in your room while you clean them. Another interesting thing about cleaning a room that happens not always, but only on days when we are lucky, is that we can find something so old that we forget it ever existed in our lives.
So what feeling do these things from our past awaken? Well, that’s a difficult question to answer. While all of this definitely creates a strange bittersweet feeling, some things may make you wonder why you found them again. For example, a rose given to you by someone you loved very much but who you do not have by your side today can bring back memories, first of the good memories shared with that person and then of the sad ending. However, on the other hand, in case you find something from your childhood, such as your favorite toy, your most beloved Barbie doll, a bracelet that your childhood friend gave you, your favorite blanket or your childhood clothes, the Just a glance at these objects will bring a wide smile and a sense of excitement to your face. This is the nature of old memories!
Well, although finding old objects can provoke good or bad memories, sometimes some objects fool us for hours. This is something that happened to Henry today. Let’s find out.
Henry, his school diary and math puzzles: STORY TIME!
Henry is a 25-year-old software engineer who works in a reputed company and earns a good salary. All his life he has been extremely hardworking and he managed to achieve great academic success. When he was in school, he was one of his teacher’s favorites. However, at the primary levels of his school, he had great difficulty handling mathematics as a subject. Who cares? He worked hard on the subject, honed his skills and today has become a successful software engineer.
Well, that’s not the point we’re trying to make. Today, when she decided to clean out his closet, she accidentally found a diary that had the name of his school written on it. When she opened it, she found his own name written in childish handwriting.
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Everything was going well until now until he turned the pages. On the first page she found the sketch of her favorite childhood cartoon. Henry was definitely good at drawing in school, but he doesn’t remember the exact moment he made this sketch. On the second page, the boy found some random scribbles that he didn’t pay attention to. On the third page there was something really exciting but surprising.
On the third page he wrote,
“Whether I’m 10 or 25, I’m never going to solve these difficult math puzzles.”
The statement left Henry in shock. Probably when he wrote this statement, he was a 10-year-old boy. However, does this mean that 10-year-old Henry actually challenged the current Henry beforehand? This sounded strange and even a little creepy!
Henry immediately turned the pages and found some written mathematical puzzles.
Now, the super smart boy is a little nervous, since his younger self has suddenly challenged him. Can you help Henry solve these math puzzles?
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Mathematical puzzles in Henry’s diary:
Mathematical riddle 1:
Liam asks his dad for $50 and his mom for $50, and his parents give him the money demanded. Now, this means he has $100. With this money, he moves to a store and buys a jacket worth $97. Now, with the $3 he has left, Liam gives $1 to his dad and $1 to his mom, while he keeps $1. This means Liam owes his dad $49 and his mom $49, which together makes $98. Now, the dollar he kept amounts to $99. Where did the other dollar go?
Mathematical riddle 2:
Susan had a new set of faucets installed in her home. However, the speed of the two taps is different from each other. The hot water faucet that Susan installed fills the bathtub at a specific rate which is 15 liters per minute. On the other hand, the cold water faucet in Susan’s bathroom lets water in at a specific rate which is 10 liters per minute. If we talk about the plug hole, it also allows water to flow out of the tub at a specific rate, which is 12 liters per minute.
Now the bathtub has a maximum capacity of 520 liters.
If one day Susan turns on the hot and cold faucets but somehow fails to get the plug in, how much time in minutes will it take for the bathtub to actually overflow?
(PS: Don’t be a careless guy like Susan and always try to save water!)
Mathematical riddle 3:
When Gracy was 6 years old, her brother John was actually half her age. If Gracy cuts her 50th birthday cake today, what do you think is her brother’s age?
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After solving the third math puzzle, Henry accidentally flipped through a few more pages containing random scribbles, until he reached the last page, where he found something even stranger.
The last page said:
“Answers for Henry, 25 years old.”
The statement was written by 10-year-old Henry in his childish handwriting. Following the statement were the answers to the mathematical puzzles.
“Answers for Henry, 25 years old”
Mathematical riddle 1:
Liam asks his dad for $50 and his mom for $50, and his parents give him the money demanded. Now, this means he has $100. With this money, he moves to a store and buys a jacket worth $97. Now, with the $3 he has left, Liam gives $1 to his dad and $1 to his mom, while he keeps $1. This means Liam owes his dad $49 and his mom $49, which together makes $98. Now, the dollar he kept amounts to $99. Where did the other dollar go?
Answer 1:
The kicker here is that there aren’t actually any dollars missing! Liam started with an amount of $100. He then spent $97 on the jacket. After purchasing the jacket, you have $3 left. Then he gave $1 to his dad and $1 to his mom and kept $1. This means that Liam owes his parents $98, but since he has kept $1, that amount can be counted as part of what Liam owes them.
Therefore, the boy needs $97 (the cost of the jacket) more to pay his parents.
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Mathematical riddle 2:
Susan had a new set of faucets installed in her home. However, the speed of the two taps is different from each other. The hot water faucet that Susan installed fills the bathtub at a specific rate which is 15 liters per minute. On the other hand, the cold water faucet in Susan’s bathroom lets water in at a specific rate which is 10 liters per minute. If we talk about the plug hole, it also allows water to flow out of the tub at a specific rate, which is 12 liters per minute.
Now the bathtub has a maximum capacity of 520 liters.
If one day Susan turns on the hot and cold faucets but somehow fails to get the plug in, how much time in minutes will it take for the bathtub to actually overflow?
(PS: Don’t be a careless guy like Susan and always try to save water!)
Answer 2:
The answer is 40 minutes.
EXPLANATION: The hot water tap can fill the bathtub at a rate of 15 liters per minute. On the other hand, the cold water tap is capable of filling the bathtub at a rate of 10 liters per minute.
Now the water enters at a rate of 25 liters per minute. (How? Well, 15 added to 10 is 25.)
Additionally, the cap can be emptied at a rate of 12 liters per minute.
Thus, the bathtub fills at a rate of 13 liters per minute. (How? Well, 12 subtracted from 25 is 13.)
Now the bathtub holds 520 liters of water.
So, since 520 divided by 13 is 40, the bath overflowed after 40 minutes.
Math Riddle 3: When Gracy was 6 years old, her brother John was actually half her age. If Gracy cuts her 50th birthday cake today, what do you think is her brother’s age?
Answer 3:
Juan is 47 years old.
When Gracy was 6, John was 3. This not only means that John was half her age. This also means that John was 3 years younger than Gracy.
Now, when Gracy is 50 years old and John is three years younger than her sister, she must be 47 years old today.Were you able to help Henry solve these strange math puzzles?
And why did little Henry leave these math puzzles for the current 25-year-old Henry to solve? This now sounds scary. While the math puzzles were really fun, some mysteries are best left unsolved. It seems as if Henry finished a long-overdue task today, which the little version of him left him to complete years ago.
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Categories: Optical Illusion
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