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For The Mathematically Inclined

Anil Saigal
08/25/2022

Problem 1:

Simplify (2^54+1) / (2^27+2^14+1) .

Problem 2:

If x + xy + y = 54, then what is x + y?

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Problems from 08/11/22

Problem 1
:

Ivan rented a truck for one day.there was a base fee of $14.95, and there was additional charge of 73 cents for each mile driven. Ivan had to pay $114.96 when he returned the truck. For how many miles did he drive the truck?

Problem 2:
Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves Worcester at 10:00 along the same route at 70 km/h. At what time will bus B pass bus A?

Congratulation to Ramachandran Balakrishna who was the winner of the last set of problems. 



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