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Dr. Foster's age is a multiple of 4 and 9Her age is one away from a multiple of 7She is younger than 40 years old.

Question

Dr. Foster's age is a multiple of 4 and 9

Her age is one away from a multiple of 7.

She is younger than 40 years old.

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Solution

The problem is asking for the age of Dr. Foster given the following conditions:

  1. Her age is a multiple of 4 and 9.
  2. Her age is one away from a multiple of 7.
  3. She is younger than 40 years old.

Let's solve this step by step:

Step 1: Find the common multiples of 4 and 9 that are less than 40. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36 and the multiples of 9 are 9, 18, 27, 36. The common multiples are 36.

Step 2: Check if this number is one away from a multiple of 7. The multiples of 7 are 7, 14, 21, 28, 35, 42. The number 36 is not one away from any of these multiples.

Step 3: Since there is no number that satisfies all the conditions, it means that there is no such age for Dr. Foster under the given conditions.

This problem has been solved

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