An odd number times an odd number is an odd number no matter which 2 odds you multiply.
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first odd = x 2nd odd = x + 2 3rd odd= x +4 4th odd = x +6 x + x + 2 + x + 4 + x = 6 = 152 4x + 12 = 152 4x = 140 x = 35 35,37,39,41
'x' can't represent an odd integer, simply because 'x' is not always odd.If you can guarantee that 'x' is odd, then the previous odd number is (x-2),and the next one is (x+2).The smallest number that MUST be odd for ANY value of 'x' is (2x-1).The smallest two consecutive odd integers for any value of 'x' are (2x-1) and (2x+1).
The statement is true.
Because the set is not closed under addition. If x and y are odd, then x + y is not odd.
The two numbers can be thought of as: Smaller Odd Number = x + 1 (Add one to ensure it is an odd number) Larger Consecutive Odd Number = Smaller Number + 2 = x + 1 + 2 = x + 3 We know that Smaller Odd Number + Larger Consecutive Odd Number = 100 (X + 1) + (x + 3) = 100 2x + 4 = 100 2x = 96 x = 48 Smaller Odd Number = 48 + 1 = 49 The smaller odd number is 49. The next consecutive odd number of course is 51.