this post was submitted on 11 Oct 2023
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Same trick will work next year too!
2^1
i thought they meant 2^0^ + 1, but this makes way more sense
Brilliant, now I wonder what ages this works for, I figured only 1 and 2, but then I realised we could write the father's age in other bases..
1 = 2^0 (20 b10)
2 = 2^1 (21 b10)
3 = 3^1 (31 b7 = 22)
6 = 6^1 (61 b4 = 25) if they are lucky the grand father will be 61 that year :-D
8 = 2^3 (23 b12 =27)
9 = 9^1 (91 b3 = 28)
14 = 14^1 (141 b4 = 33)
You have mistakes in a few of those. The number "61" doesnt exist in b4. 25b10 in b4 is "121".
Similar problem with 91b3 and 141b4.
Indeed, I was so focused on the algebraic side I didn't even think about it :-D
I was computing 6*4+1=25
And the following year as well!
Poor kid going from 2 to 8 in 1 year.
You mean 2 -> 4?
2^2 = 4
Ahh yes your right, my bad. I was thinking the power was equal to her age but it is actually -1 her age. I was doing 2^3 when it should have been 2^2. I guess that is what I get when I don't show my work. Dang math teacher was right.
And I thought you were making a follow-up joke to mine..
Haha, no.