Relative ages – who is oldest and gets the extra slice? Randy is 2 months older than Greg. Greg is 3 months younger than Ned. Kent is 1 month older than Greg. The oldest gets the extra piece. Who is it?

Difficulty: Easy

Correct Answer: Ned

Explanation:


Introduction / Context:
This is a simple relative-age comparison. Converting all ages to differences from a single baseline makes it easy to rank the four friends by age and identify the oldest.



Given Data / Assumptions:

  • Randy = Greg + 2 months.
  • Greg = Ned − 3 months (i.e., Ned = Greg + 3 months).
  • Kent = Greg + 1 month.
  • Oldest friend receives the extra pizza slice.


Concept / Approach:
Use a reference variable for Greg’s age and express all others in terms of Greg. Then compare the offsets to determine who has the largest value (oldest).



Step-by-Step Solution:

Let Greg’s age be G (as a baseline).Randy = G + 2.Kent = G + 1.Ned = G + 3.Compare: Ned (G + 3) > Randy (G + 2) > Kent (G + 1) > Greg (G). Ned is oldest.


Verification / Alternative check:

Order check: Each inequality is consistent with the given pairwise differences.


Why Other Options Are Wrong:

Randy and Kent are older than Greg but still younger than Ned.Greg is explicitly younger than both Randy and Ned.“Tie” conflicts with distinct offsets (+3, +2, +1, 0).


Common Pitfalls:

Accidentally reversing the “younger than” relation when converting to offsets.


Final Answer:
Ned

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