Problem 3 · 2022 Math Kangaroo
Medium
Logic & Word Problems
work-backward
Bella is older than Charly and younger than Lily. Which two can be the same age if Teddy is older than Bella?
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Answer: B — Teddy and Lily
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Hint 1 of 2
Write the chain of who is older from the four clues.
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Hint 2 of 2
Two people can share an age only if no clue forces one strictly above the other.
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Approach: order the people, find the unconstrained pair
- Charly < Bella < Lily, and Teddy > Bella.
- Teddy and Lily are both only required to be above Bella; nothing orders them against each other.
- So Teddy and Lily can be the same age.
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