I don't see this as possible.............But wait, I won't have the answer now, but someone else might have it.
Does this involve algebra, cause that is what the question is related to.
If 72 is a base 8 number then in base 10 it is: 7*8 + 2 = 58
If 46 is a base 13 number then in base 10 it is 4*13 + 6 = 58
If 106 is a base 8 number then in base 10 it is 1*8^2 + 6 = 70
In base 13 the base 10 number 70 is 55 (i.e 5*13 + 5 = 70)
So, if 72 equals 46 then 106 equals 55
!!
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Alan: I think you overdid this time!!!!!!
Kids are simply learning "proportionality", despite the fact that they say "one number=another!". In this case, I'm certain that the young person meant: If 72: 46, then what is 106:?. That is all folks!.
Well guest #4 I will tell you right now Alan not over do it at all!
Yesterday when I see this question I think ok it is proportionality and I do it and get the same answer as guest #2
Then I think what if it is a different base?
I play with it for an hour or so but I not figure out how to do it, except by stepping through different base numbers on a calculator site that do base conversions and I still not really figure it out.
Now when I see Alan’s answer I have a better idea how to do this.
So Alan did not over do it. Just because he think outside the box of elementary maths do not mean it is lost on everyone who read it. Even some of us dumb kids get it.
So Guest #4 STFU!!!!!!!!!!!!
Well I thank all of you. (Guest, Alan and Dragonlance)
I did not 'overthink it' I simply dismissed it as a rubbish question.
Next time maybe I will see it as a possible ratio question or as a base question.
I liked all Guests, Alan's and Dragonlance's responses. (Except for DL's profanity. )