This statement is always true. The sum of two odd numbers is always even, and when two odd numbers are added, their remainders modulo 4 sum to 4, ensuring divisibility by 4.
Class 6 Mathematics Ganita Prakash Prime Time
Class 6 Mathematics Chapter 5 Prime Time question answer
The sum of two odd numbers is always a multiple of 4. Odd numbers can be expressed as 2n + 1, where n is an integer. Adding two odd numbers, (2n + 1) + (2m + 1) = 2(n + m + 1), yields an even number divisible by 2. Additionally, the remainders modulo 4 sum to 4, confirming divisibility by 4. For example, 3 + 5 = 8, 7 + 9 = 16, both multiples of 4.
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