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Question 31 Two MIT math grads bump into each other at Fairway on the upper west side.

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Question 31

Two MIT math grads bump into each other at Fairway on the upper west side.

The first grad says to the second: "How have you been?"

Second: "Great! I got married and I have three daughters now"

First: "Really? How old are they?"

Second: "Well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there."

First: "Right, ok... oh wait... hmm, i still don't know"

Second: "Oh sorry, the oldest one just started to play the piano"

First: "Wonderful! my oldest is the same age!"

Find the ages of the three daughters?

Choose one option.
Show answer & explanation
Answer: A. A) 1 4 18

Accurate technical and quantitative evaluation based on foundational principles.

Step-by-step Derivation:
Step 1: Formulate problem conditions.
Step 2: Apply logical deduction.
Step 3: Conclude correct option.