Impossible.
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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.
The sum of any three consecutive odd integers is going to give an odd result. It is impossible for the sum of an odd number of odd integers to equal an even number.
The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.
is an even number
There are no two consecutive integers that sum to 58. With two consecutive integers, one is even, the other is odd. The sum of an even number and an odd number is odd. 58 is even so cannot be the sum of two consecutive integers.