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Brianna, Ryan, Tyler and Ashley were recently elected as the new class officers (president, vice president, secretary, treasurer) of the sophomore class. From the following clues, determine which position each holds.

a. Ashley is younger than the president but older than the treasurer.
b. Brianna and the secretary are both the same age, and they are the youngest
members of the group.
c. Tyler and the secretary are next-door neighbors.

1 Answer

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Final answer:

The question is a logic puzzle to determine class officer positions. Ashley is Vice President, Ryan is Secretary, Tyler is President, and Brianna is Treasurer. Deductive reasoning based on age and neighbor relationships helped reach the conclusion.

Step-by-step explanation:

The question asked is a logic puzzle where we need to determine the positions of class officers based on the given clues. This type of problem involves critical thinking and deductive reasoning, which are mathematical skills. Let's look into the clues one by one.

  • Ashley is younger than the president but older than the treasurer.
  • Brianna and the secretary are both the same age, and they are the youngest members of the group.
  • Tyler and the secretary are next-door neighbors.

Since Brianna and the secretary are the youngest, and Ashley is older than the treasurer, this means that Ashley cannot be the treasurer or the secretary. Therefore, Ashley must be either the president or the vice president. However, as Ashley is younger than the president, she cannot be the president. Thus, Ashley is the vice president.

As Brianna is the youngest, she is not the president. Since she is the same age as the secretary, she cannot be Ashley and therefore must be the treasurer. If Brianna is the treasurer and Ashley is the vice president, then the remaining positions are president and secretary.

Tyler cannot be the secretary since he is neighbors with the secretary, so Tyler is the president. The only person left is Ryan, who must be the secretary. In summary, the positions are:

  • Tyler - President
  • Ashley - Vice President
  • Ryan - Secretary
  • Brianna - Treasurer

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