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Half my age again?

  • #1

Homework Statement


I need a rock solid proof.

Is it possible to be half someones age more than once?

Eg. I was born at 0 while my dad was born at 20, he will be 40 when I am 20 hence I am half his age. Is this possible more than once?
 

Answers and Replies

  • #2
473
13
The difference in your ages is fixed. Use that constant to show that the fraction only ever decreases.

(Quibble: in your example, if I die when I'm 30, will I again be half my Dad's age when he turns 60?)
 
  • #3
You have two ages, which can be represented by functions which are linear in time, what do you know about the solutions to systems of linear equations?
 

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