Question
if a number divides one of two numbers but not the other, then it will not divide their sum
Answers
GPT 3.5
This statement is not true. A number can divide one of two numbers but not the other and still divide their sum.
For example, let's consider the numbers 6, 8, and 14.
6 divides 6 and 14 (6/6 = 1 and 6/14 = 0.428571...), but it does not divide 8 (6/8 = 0.75).
However, 6 divides the sum of 6 and 8 (6 + 8 = 14, and 14/6 = 2), contradicting the statement.
For example, let's consider the numbers 6, 8, and 14.
6 divides 6 and 14 (6/6 = 1 and 6/14 = 0.428571...), but it does not divide 8 (6/8 = 0.75).
However, 6 divides the sum of 6 and 8 (6 + 8 = 14, and 14/6 = 2), contradicting the statement.