Is the sum of odd numbers an odd number? Give an example in support of your answer

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Solution

sum of odd numbers is even
let us take examples
1+3=4
3+9=12
5+5=10
7+9=16
.
.
.
.
1001+2003=3004
the sum are all even numbers

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Let $x$ be a rational number and $y$ be an irrational number. Is $x + y$ necessarily an irrational number ? Give an example in support of your answer.

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Is the sum of odd numbers an odd number? Give an example in support of your answer

sum of odd numbers is even let us take examples 1+3=4 3+9=12 5+5=10 7+9=16 . . . . 1001+2003=3004 the sum are all even numbers

sum of odd numbers is even
let us take examples
1+3=4
3+9=12
5+5=10
7+9=16
.
.
.
.
1001+2003=3004
the sum are all even numbers