# Four equations for the same number?

Using creative thinking can you show

9 = 4

9 = 8

9 = 14

9 = 24

All four equations follow the same logic/method.

While you are at it can you also show (same logic)

55 = 4

Hint:

Think Roman Numeral for LHS

• For the first four, multiply RHS by 9 and take the sum of digits :P Jul 8 at 18:51
• The logic that applies to all is that the equality is false. Jul 9 at 12:09
• It strikes me as potentially significant that in A0Z25 the RHS of each equation corresponds to a vowel (E, I, O, Y, then E again)...
– Stiv
Jul 9 at 13:19

I think this is the reasoning

IX = $$\frac{2}{3}$$ of the word SIX = $$\frac{2}{3} \times 6 = 4$$
IX = $$\frac{2}{9}$$ of THIRTY SIX = $$\frac{2}{9} \times 36 = 8$$
IX = $$\frac{1}{4}$$ of FIFTY SIX = $$\frac{1}{4} \times 56 = 14$$
IX = $$\frac{2}{5}$$ of SIXTY = $$\frac{2}{5} \times 60 = 24$$

Bonus

LV = $$\frac{1}{3}$$ of TWELVE = $$\frac{1}{3} \times 12 = 4$$

• And it is finally solved!! Kudos.
– DrD
Jul 10 at 22:45