SOLUTION: The difference of the squares of two prime numbers is 10197. What is the sum of
the squares of the two numbers?
Algebra.Com
Question 257210: The difference of the squares of two prime numbers is 10197. What is the sum of
the squares of the two numbers?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The difference of the squares of two prime numbers is 10197. What is the sum of
the squares of the two numbers?
-------------
Since the difference is an odd number, one of the prime numbers has to be an even number. The only even prime is 2, and its square is 4.
10197 + 4 = 10201 = 101^2
The numbers are 2 and 101.
---------------------
The sum of their squares is 10205.
-----------------
PS -2 and -101 also work.
RELATED QUESTIONS
The sum of the squares of two numbers is 88. The difference of the squares of the two... (answered by umnikmo)
The sum of two numbers is 25, and the difference of their squares is 75. What are the two (answered by Paul)
The difference between two positive numbers is 223 smaller than the sum of their squares. (answered by richwmiller,ikleyn,greenestamps)
The sum of two numbers is 20. The difference of their squares is 120. What are the... (answered by checkley77)
The difference of two positive numbers is 5 and the sum of their squares is 233. What are (answered by checkley79)
The difference of two positive numbers is 5 and the sum of their squares is 233. What are (answered by stanbon,ewatrrr)
The difference of two positive numbers is 99. The numbers multiply to 630. What is the... (answered by math_tutor2020,ikleyn)
The difference of two numbers is 2. If the difference of their squares is 18, what is (answered by checkley79)
The difference of two numbers is 2 and the sum of thier squares is... (answered by edjones)