Chicken Chaos!
Number Theory
Level
1
A absent-minded chicken forgot the ages of her 3 chicks, Ava, the youngest, Bob, the second oldest, and Carlos the oldest. However, she remembers these 2 things.
- The product chick's ages is 126
- The sum of the chicks ages is 16
What is Ava's age?
7
5
3
9
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1 solution
Writing 126 as a product of 3 distinct integers, such that each is lesser than 16,
1 2 6 = 7 × 9 × 2 ; 7 × 6 × 3 ; 1 4 × 9 × 1
Now, 7+6+3=16, therefore these are the correct ages.
Ava being the youngest, is aged 3.