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Question

The sum of two odd numbers is an ............ number.

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Solution

The numbers 3, 7 , 11, 35 etc. are odd numbers. Now observe the following:
3 + 7 = 10, 3 + 11 = 14, 3 + 35 = 38, 7 + 11 = 18, 7 + 35 = 42 etc.
Here, the last digits of 10, 14, 38, 18, 42 ... ends with 0, 4, 8 and 2.
We know that, the number whose last digits is 0, 2, 4, 6 or 8 is an even number.
Thus, 10, 14, 38, 18, 42 etc. are all even numbers. Hence,
The sum of two odd numbers is an even number.

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