Anthony just got a new drone with an HD camera and microphone, and he is eager to test it out. He connects his computer to its wireless live video stream, opens up his window, and flies it outside. On the video stream, Anthony can see his neighbor's house. He notices that one of their windows is open and a man and a woman are sitting at a table with their backs to the window. He decides to spy on them, so he moves the drone close to the window and has it hover there. The man and woman are talking about something as Anthony watches and listens to them on the video stream.
The man says "... wasn't working, so I had to write everything down and do the calculationcalculations myself." Then he hands a piece of paper to the woman and asks her, "Can you double check my math?" As the woman holds the piece of paper, it is entirely visible to the drone's camera, so Anthony zooms in on it. He sees the following equationequations, and he is really impressed by the man's immaculate and unslanted penmanship:
34x4-44x6/528-24x11 = 101
21x21x21x5/315-62 = 85
34x4-44x9/528-24x11 = 101
The woman looks at the piece of paperfirst equation for about 30 seconds and then says "Yeah"The first one's right, that'sone hundred and one." Then she looks at the second equation for about 30 seconds and says "The second one's right, eighty-five." Then she looks at the third equation for about 30 seconds and says "The third one's right, one hundred and one." The man says "Thanks", and then starts to get up from the table. Anthony quickly flies the drone back to his house.
After downloading the video recorded by the drone to his computer, Anthony plays it back. He looks at the equationequations again, and he can't figure out how the man and woman got 101did the calculations. Can you explain how they did the calculationcalculations?
Hints:
- Everything about this puzzle and the answer are in base ten. No other base is used.
- Anthony saw everything that was written down, and he saw it in the correct orientation without mirroring. The man and woman did not do anything that Anthony couldn't see or hear.
- The man and woman performed the calculations correctly.
- All of the equations use the same calculation method.