Shiv wonders if both the numbers, before and after an even number, will be odd. What do you think? Check and discuss.
Yes, both numbers before and after an even number are odd.
Example 1: Even number 6 Number before: 5 (odd) Number after: 7 (odd)
Example 2: Even number 20 Number before: 19 (odd) Number after: 21 (odd)
Reason: Even and odd numbers always alternate in consecutive order.
Explanation
The chapter establishes that even and odd numbers alternate. Since consecutive numbers alternate between odd and even, an even number will always have odd numbers on both sides. For example: 4 (even) is between 3 (odd) and 5 (odd). This pattern holds for all even numbers.
Solution Steps
Take an even number and identify the number before it
Identify the number after the even number
Check if both adjacent numbers are odd
Conclude that even and odd numbers alternate in consecutive order