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?
Logical Reasoning
Logical Problems
Difficulty: Easy
Choose an option
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ARandy
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BGreg
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CNed
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DKent
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EA tie between Randy and Ned
Answer
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