using simple algebra. A multiple of 7 can be written as 7a or 7b where a, b are elements of the set of real numbers so adding them you have 7a + 7b = 7(a+b) and 7(a+b) is a multiple of 7 since a+b is rea. Try putting any value for a and b and see whether it works .(It should do)
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Such a sum is always rational.
No For example, 16 is a multiple of 4 but ends in a 6. 20 is a multiple of 4, but ends in 0. To check to see if a number is a multiple of 4, see if the last two digits are a multiple of 4 or '00'. If the last two digits are a multiple of 4 or are '00', the entire number is a multiple of 4.
The sum of two consecutive integers will always be an odd number.
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
There is no "greatest common multiple" of any two numbers. Whatever their product is, it can be multiplied by any positive integer to yield an even greater number that is also a multiple of the first two. Thus, the number of multiples is infinite.