Maths-
General
Easy

Question

Make and test a conjecture about the sum of two even numbers

The correct answer is: 2+2=4, 2(3)+2(5)=16


    Let us assume any two integers. We can write them as

    2x and 2y.
    The sum of these two even numbers is 2x + 2y .
    Now, Take 2 common .we get,

    2x+2y=2(x + y)
    Inside the parenthesis, we have a sum of two integers.
    Since the sum of two integers is just another integer then we can let an integer n be equal to (x + y).
    Substituting (x + y) by n in 2(x + y), we obtain 2n which is clearly an even number.
    Thus, the sum of two even numbers is even.
    For example, 2 + 2 = 4, 2(3) + 2(5) = 16, etc.

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