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Write a conjecture using the information provided. If two numbers are odd, then their sum is even. The two numbers are 3 and 19.
Question
Write a conjecture using the information provided.
If two numbers are odd, then their sum is even. The two numbers are 3 and 19.
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Mathematics
5 years
2021-08-03T05:53:37+00:00
2021-08-03T05:53:37+00:00 1 Answers
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Answers ( )
An integer has to be either even or odd
Even numbers are numbers divisible by 2, while odd numbers are not
Let us represent the 2 even numbers like this
ax+1
bx+1
When you add the two numbers together, you get
2a + 1 + 2b + 1
This can be simplified using the inverse of distributive property
2(a+b) + 2
2(a+b+1)
This is the sum, which is divisible by 2