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Find the correct relationship between Quantity 1and Quantity 2.

Quantity 1 : The age of teacher, if the average age of 36 students is 14. When teacher’s age is included the average increases by 1. Quantity 2 : The age of professor if the average age of 19 students is 35. When professor’s age is included the average increases by 0.5.

  1. Quantity 1 > Quantity 2

  2. Quantity 1 ≥ Quantity 2

  3. Quantity 1 < Quantity 2

  4. Quantity 1 ≤ Quantity 2

  5. Quantity 1 = Quantity 2 or relationship cannot be established
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A Correct answer
Explanation

Quantity 1: Average of 36 students = 14, so total = 36 * 14 = 504. With teacher, average becomes 15 for 37 people, so new total = 37 * 15 = 555. Teacher's age = 555 - 504 = 51 years. Quantity 2: Average of 19 students = 35, so total = 19 * 35 = 665. With professor, average becomes 35.5 for 20 people, so new total = 20 * 35.5 = 710. Professor's age = 710 - 665 = 45 years. Comparing: 51 > 45, so Quantity 1 > Quantity 2.

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