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At a meeting of 100 geniuses, each genius was either a
mathematical genius or a musical genius. At least 1 of the
math geniuses is older than age 15. If you were to choose
any 2 geniuses from the group, at least 1 of them would be
younger than 15 years of age. How many of the 100
geniuses are older than 15, and how many are younger than
15?

Sagot :

Interpreting the situation, it is found that:

  • 1 of the genius is older than 15.
  • The other 99 are younger than 15.

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If you were to choose  any 2 geniuses from the group, at least 1 of them would be  younger than 15 years of age.

This means that at least 100 - 1 = 99 are younger than 15, that is, either 99 or all 100.

At least 1 of the  math geniuses is older than age 15.

Thus 1 is older than 15, and the other 99 are younger.

A similar problem is given at https://brainly.com/question/24294701

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