Question
The sum of two consecutive odd numbers is divisible by $4$. Verify this statement with the help of some examples.
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Answer
$Ex.1 :$ Take two consecutive odd numbers $5$ and $7.$
Sum of these numbers $= 5 + 7 = 12$
$12$ is divisible by $4.$
$Ex.2 : 13$ and $15.$
Sum of $13$ and $15 = 13 + 15 = 28$
$28$ is divisible by $4$.So sum of two consective odd numbers is divisible by $4$
Sum of these numbers $= 5 + 7 = 12$
$12$ is divisible by $4.$
$Ex.2 : 13$ and $15.$
Sum of $13$ and $15 = 13 + 15 = 28$
$28$ is divisible by $4$.So sum of two consective odd numbers is divisible by $4$
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