The Age Riddle That Confuses Everyone — Solved Step by Step

This classic logic puzzle often goes like this:

“When I was [age], my sister was half my age. Now I’m 54. How old is she now?”

At first glance, it seems like we’re missing information — and we are. But the trick is understanding that the age difference between siblings never changes.


Step 1: Understand the key idea

If at some point:

  • Your age = x
  • Your sister’s age = x/2

Then the difference is:

  • x − x/2 = x/2

So your sister is always younger by x/2 years.


Step 2: The missing assumption (the key to solving it)

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