Grandpa tells me that the following equation is correct.
CIX = FV - CLX
I don't get it.
Do you?
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$\begingroup$ All of this except F is roman numerals - could that help? $\endgroup$– TakingNotesJan 8, 2019 at 6:41
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4$\begingroup$ I had F is RomNum for 264? $\endgroup$– JMPJan 8, 2019 at 7:09
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1$\begingroup$ May be use music notes combination with roman numerals. $\endgroup$– MotiJan 8, 2019 at 7:50
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$\begingroup$ The Roman Numeral part is partially correct. That is a hint. $\endgroup$– DrDJan 8, 2019 at 14:28
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4 Answers
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I think the equation represents
The conversion rule between degrees Celsius and degrees Fahrenheit
Explanation
Given a temperature in degrees Fahrenheit, $F$, the rule for converting to a temperature in degrees Celsius $C$ is given by $$ C = \frac{5}{9} \left(F - 32\right)$$ Multiplying both sides by $9$ we have $$ 9C = 5F - 160 $$ or $$ C \times 9 = F \times 5 - 160 $$ Converting the numbers to Roman numerals, we get $$ C \times IX = F \times V - CLX$$ or more simply $$ CIX = FV - CLX $$
answered Jan 11, 2019 at 16:08
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$\begingroup$ I had thought about (rot-13) [Pavar naq Ssvir] being part of the answer, but I was stumped by [Pfvkgl]. That seems like the answer to me. $\endgroup$– VanJan 11, 2019 at 16:20
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Maybe:
As @JonMarkPerry has already noticed we can calculate using the values of CIX and CLX as Roman numerals that F = 264, because 109 = (264 + 5) - 160.
If we represent 264 as Roman numeral it looks like CCLXIV. On the right side of the equation we have CCLXIVV - CLX. If we take out the matching letters we are left with CIVV. Now, VV that is 5 5, i.e. 10, or X and we get CIX, Q.E.D.
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The initial equation you posted is: CIX = FV - CLX
If we write down the decimal value of CIX, we get
109 = FV - CLX
If we write down the decimal value of CLX as well, we get
109 = FV - 160
Take out FV
FV = 109 - 160
Add up the total
FV = 269
Take the decimal value back to roman numerals
FV = CCLXIX
Separate the roman numerals instead of having them in one group
FV = C + CL + X + IX
Re-order the roman numerals
FV = C + IX + CL + X
Partially add some roman numerals together
FV = CIX + CLX
Go back to the initial formula
CIX = FV - CLX
Concluding
This shows that the equation is correct, everything except FV is given, and from getting FV it's value, we can go back to the original equation. Everything except FV is given because only FV can't be put into a decimal form with conversion from roman numerals. (only partially, but i feel like that's what makes this a trick question)
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Staying with the Roman numeral concept, but focusing on it more as an equation, we can rearrange to solve for F, rather than try to make it a Roman numeral itself
Like so:
CIX = FV - CLX
FV = CIX + CLX (add CLX to both sides, swap sides for simplicity)
FV = CX(I + L)
F = CX(I + L) / V
Substituting our Roman numerals gives:
F = 110(1 + 50) / 5
Which gives F a value of
1122
A bit of a stretch, but...
1 + 1 + 2 + 2 = 6 and F is the 6th letter of the alphabet
