The document is a math problem involving the ages of two brothers. The difference and sum of their ages must both be prime numbers. The elder brother is 28 years old. The possible ages of the younger brother that satisfy the given conditions are 9, 15, and 25. Therefore, the number of different values the younger brother's age can take is 3.

1. Number Theory

2. Number Theory
The difference between the ages of two brothers is a prime number.
Sum of their ages is also a prime number. If the elder brother is 28
years old, how many different values can the age of the younger
brother take?
(a) 2 (b) 3
(c) 4 (d) 1

3. Number Theory
Solution:
X can take values 9, 15, 25
Answer Choice (B)
X 9 15 25
28 + x 37 43 53
28 – x 19 13 3

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