You can
put this solution on YOUR website! .
I will help you to solve the second problem.
n is a natural number. Find the common Greatest Common Divisor (GCD) of numbers (2n+25) and (n+15).
Solution
Let integer number d is the common divisor of (2n+25) and (n+5).
Then it divides the difference
(2n+25) - 2*(n+5) = (2n+5) - (2n+10) = 2n + 5 - 2n - 1- = -5.
Thus, any common divisor of the numbers (2n+5) and (n+5) divides the number -5.
It means that the Common Greatest Divisor (GCD) of these numbers is EITHER 5 OR 1.
It can not be any other number.
Example 1: Let n = 10.
Then the numbers (2n+5) = 25 and (n+5) = 15.
Their Greatest Common Divisor is 5.
Example 2: Let n = 7.
Then the numbers (2n+5) = 19 and (n+5) = 12.
Their Greatest Common Divisor is 1.
Thus I explained you the solution and illustrated it by examples.
ANSWER. GCD of these numbers is EITHER 5 OR 1.
The solution is completed.
After learning it from me, now solve the problem #3 ON YOUR OWN.
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