Question

Write down three consecutive odd integers if the largest one is 2x+1​

Answer 1

The consecutive off numbers would be 2x – 3, 2x – 1, and 2x + 1

Step-by-step explanation:

The consecutive odd integers have a difference of 2 between them.

However, 2 times the odd integer is an even number, since this number is divisible by 2.

Consider 2x as the even number between 2 odd numbers.

The odd numbers flanking this even number would be 2x + 1 and 2x – 1

If 2x + 1 is the highest odd number, the 2 consecutive odd number that are lesser than this odd number would have a difference of 2.

Thus; these numbers would be

2x + 1 -2 = 2x -1

The next odd number would be 2 lesser than 2x – 1, i.e., 2x – 3

Thus, the consecutive off numbers would be 2x – 3, 2x – 1, and 2x + 1