If Aaron is 15 years old, and his sister is 3 times as old as him, then the sister is 3 * 15 = 45 years old. Together, Aaron and his sister have a total age of 45 + 15 = 60 years. Henry is four times as old as the sister, meaning he is 45 * 4 = 180 years old. The three siblings together have a total age of 60 + 180 = 240 years.
The answer: 240
Reverse engineering the question: Aaron, Henry's brother, is 15 years old. Henry's sister is three times as old as Aaron. Henry is four times as old as his sister. What's the combined age of the siblings?


Reasoning and answer: First find how many years the base sentence will be: $40,000 / 1 year / $5,000 = 8 years. Then find how long the increase for the third offense is: 8 years * 25% = 2 years. Then add the third - offense increase and the sentence for resisting arrest to the base sentence: 8 years + 2 years + 2 years = 12 years.
The answer: 12
What was the question?
Question: Nissa is calculating a jail sentence for a man who was convicted of burglary. The base sentence is 1 year of jail for every $5,000 of goods stolen. The burglar is going to have his sentence length increased by 25% because this is his third offense, plus 2 additional years for resisting arrest. How many years total is the burglar's sentence if he stole $40,000 worth of goods?


The frog eats 2 flies / day * 7 days / week = 14 flies a week. Betty catches flies in the morning and in the afternoon, for a total of 5 flies + 6 flies = 11 flies. But 1 fly escapes, leaving 11 flies - 1 fly = 10 flies. To get her frog's food for the whole week, Betty needs 14 flies - 10 flies = 4 more flies.
The answer: 4
Reverse engineering the question: Flies are Betty's frog's favorite food. Every day the frog eats 2 flies. Betty puts the flies she finds in a bottle. In the morning Betty catches 5 flies inside a bottle, and in the afternoon she catches 6 more, but when she removes the lid, one escapes. Betty wants to gather the whole week's food for her frog. How many more flies does she need?


Reasoning and answer: First find the total cost of the spellbooks by multiplying the price per book by the number of books: 5 books * 5 gold / book = 25 gold. Then add that amount to the cost of the owl: 25 gold + 28 gold = 53 gold. Now multiply that number by the conversion rate between gold and silver: 53 gold * 9 silver / gold = 477 silver. Now find the total cost of the potion kits by multiplying the price per kit by the number of kit: 3 kits * 20 silver / kit = 60 silver. Now add that amount to the cost of the books and owl to find Harry's total spending: 60 silver + 477 silver = 537 silver.
The answer: 537
What was the question?
Question: Harry needs to buy 5 spellbooks that each cost 5 gold, three potion kits that each cost 20 silver, and one owl that costs 28 gold. There are 9 silver to a gold. How much will Harry pay total, in silvers?


If there are 3 identical cylindrical structures, with a combined total of 72 rooms, then each individual cylindrical structure contains 72 / 3 = 24 rooms. In each 24 - room cylindrical structure, there are 24 - 12 - 7 = 5 kitchens. Thus, the entire, three - cylinder space station contains a total of 3 * 5 = 15 kitchens.
The answer: 15
Reverse engineering the question: The space station, Lupus-1, is an enormous spacecraft made up of three identical cylindrical structures that house the living quarters for the crew.  The three cylindrical structures are linked together by a series of tunnels that hold them together and allow the crew to move between cylinders. Each cylindrical structure contains 12 bedrooms, 7 bathrooms, and several kitchens. If the entire space station has 72 rooms, how many kitchens are there on the entire space station?


Sam completes a widget every 10 minutes. When Jack helps they finish 2 in 15 minutes. Sam has finished 1 widget and has begun working on another one, and Jack finishes the second one at 15 minutes. So it takes Jack 15 minutes to complete a widget. Sam worked for 6 hours yesterday, so he was able to complete 6 hours * 60 minutes per hour / 10 minutes per widget = 36 widgets. Jack worked for 4 hours, so he was able to complete 4 hours * 60 minutes per hour / 15 minutes per widget = 16 widgets. Sam, Jack, and Tony were able to complete 68 widgets together. So of those, Tony personally completed 68 widgets - 36 widgets - 16 widgets = 16 widgets. It took Tony 8 hours to complete those 16 widgets, so he takes 8 hours * 60 minutes per hour / 16 widgets = 30 minutes per widget.
The answer: 30
Reverse engineering the question:
Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every 10 minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired Tony to help assemble widgets. Being new to the job, he doesn't work as fast as Sam or Jack. Yesterday Sam worked for 6 hours before he had to leave work early for a dentist appointment. Jack was able to help out for 4 hours before he had to go back to the loading dock to unload a new shipment of widget materials. Tony worked the entire 8-hour shift. At the end of the day, they had completed 68 widgets. How long does it take Tony to assemble a Widget, in minutes?