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34. The Ageless Ted and Alice

Ted is seven years younger than Alice but in four years time their ages will be such that he is half as old as her.

How old are they now?
 

Scroll down the page for the answer.


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

let Ted's age = t and Alice's age = a

so now t = a - 7

and in four years time

t + 4 = (a + 4)/2
so 2t + 8 = a + 4
so 2t + 4 = a

and, solving these, t = 3 and a = 10

so Ted is 3 and Alice is 10
 

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