221k views
3 votes
Tim (the tallest) is older than Michael (the lightest). Jason (the oldest) is shorter than Nick (the heaviest). No one has the same rank in any category. For example, if someone is the second tallest, he can't be the second heaviest or the second oldest. Rank the four boys in each category: age, height, and weight.​

User Ibu
by
4.2k points

1 Answer

5 votes

9514 1404 393

Answer:

  • Age (decreasing): Jason, Tim, Michael, Nick
  • Height: (decreasing): Tim, Michael, Nick, Jason
  • Weight: (decreasing): Nick, Jason, Tim, Michael

Explanation:

The given tallest, oldest, lightest, and heaviest are easy to fill in.

Michael is already 4th in weight, so cannot be 1st or 4th in age. If Tim is older, then the age rank must be Jason, Tim, Michael, Nick.

Michael cannot be 1st, 3rd, or 4th in height, so must be second. If Jason is shorter than Nick, then the 3rd and 4th in height must be Nick and Jason.

The only remaining possibilities for weight are that Tim is 3rd (cannot be 2nd), so Jason is 2nd.

User Pockata
by
4.6k points