Best Song Award

Algebra Level 1

There are 5 artists up for a "Best Song" award. Here are their names and some facts about them:
James Patel: age 32, three siblings, favorite number: 1
Nicholas Blanchard: age 40, no siblings, favorite number: 18
Lisa Iris: age 23, one sibling, favorite number: 324
Oscar Gonzalez: age 27, two siblings, favorite number: 121
Nathan Keller: age 50, nine siblings, favorite number: 88

The panel of judges has released some facts about the two finalists and then the winner.

  • The quotient of the number of siblings of one finalist divided by the number of siblings of the other finalist is UNDEFINED.
  • The favorite number of one of the finalists squared is equal to the favorite number of the other finalist.
  • The winner's age is the square root of 1600.

Who will win this award?

Image credit: Grammy Awards
James Patel Lisa Iris Nicholas Blanchard Nathan Keller Oscar Gonzalez

View wiki
Bennett Reinhardt by Bennett Reinhardt , 20, USA

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3 solutions

Keerthi Bychapur
Dec 31, 2016

Let us consider the last situation the age of winner is square root of 1600 so the age is 40, Among the musicians only nicolous is aged 40 so he should be the winner.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Aron Teklay
Oct 20, 2016

Solving for a g e = 1600 age = \sqrt{1600} would yield the age of the winner. Another easy way would be to use mathematical logic, and therefore know that anything divided by 0 0 is undefined. Therefore the person with zero siblings, is the winner.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Pauline Contado
Feb 8, 2015

the square root of 1600 is 40. And Nicholas' age is 40 and that makes him the winner.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Right. All other information about the 2 finalists are irrelevant...

Roman Frago - 6 years, 4 months ago

Still the other finalist is Lisa Iris :)

Laura Lora - 4 years, 6 months ago

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??? Nobody has the same favourite numbers.

Saya Suka - 2 months ago

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