Answer for Day 3 Math Problem

Any of the following answers shall be considered correct. 😆

• infinite solutions 🎯

• Fang's score = 88 plus 2 times the number of participants 🎯

• 92 🎯

• 94 🎯

• 96 🎯

(or any multiple of 2 starting from 92)

Solution

Let's see the pattern here.

• If there is 1 other participant with Fang, then Fang's score must be 92.
• If there are 2 other participants with Fang, then Fang's score must be 94.
• If there are 3 other participants with Fang, then Fang's score must be 96.

This pattern theoretically continues indefinitely, with Fang's score equal to 90 plus 2 times every other participant in the contest. Yes, Fang in the original problem can in theory get a score higher than 2,147,483,647 (only programmers will understand)! 😆

The equation of the relationship between the number of participants and Fang's score is

s = 88 + 2p

where

• p = the total number of participants
• s = Fang's score

Algebraically, we have a linear equations in two variables s and p. We just have a constraint such that p is a whole number (1, 2, 3, etc.) because it represents participants. Scores can have fractional values (e.g. 92.5), but in the original problem, such value cannot be reached because of the constraint in p.

Winner: @appukuttan66 🏅

3 HIVE has been sent to @appukuttan66's HIVE account! 💰💰💰 1 HIVE is the guaranteed prize for today, while the other 2 HIVE is from the accumulated prizes from Day 1 and Day 2 problems where there was no winner. 😅

• @jfang003's answer was "no solution", while there are in fact infinite solutions. 😅 Imagine asking a question "What number below 10 is a prime number?" Anyone who said 7, 5, 3, or 2 (or even 1) answered correctly. You cannot say "there is no prime number below 10" because there are actually 4 (or 5) prime numbers below 10. Trivia: There are no negative prime numbers, since a prime number can only have factors which are 1 (not negative 1) and itself.
• @failingforwards's answer is considered correct, but somebody else submitted a correct answer first!
• @minus-pi's answer can be considered correct with minor simplification, if only he answered first!
• @ahmadmangazap's answer was quite close, but he should have used the word "exact" in his "can't determine Fang's score" because there is actually a formula for getting any possible score of Fang.

For the non-winning participants, please let me know if it is okay for you that I give specific feedback to your answer. 😅

Mentions: @holovision, @eturnerx (@eturnerx-dbuzz), @dkmathstats, @paultactico2 🤓
Special mentions: @dbuzz, @chrisrice, @jancharlest, and @mehmetfix 🤯