Question

if a and b are two psoitive odd integers and if a is greater than b then prove that either a+b/2 and
a-b/2 is odd and one is even

Answer 1

Should we prove that (a-b)/2 is odd and (a + b)/2 is even??

Answer 2

noo we have to prove any of them is even

Answer 3

See, we can take a = 2n + 3 and b = 2n + 1 . Here a>b
(a + b)/2 = 2n + 1 + 2n + 3/2 = 4n + 4/2 = 2n + 2 which is even
(a - b)/2 = 2n + 3 - 2n - 1/2 = 2/2 = 1 which is odd
Hope you understand!!

Answer 4

but how bro

Answer 5

See, the general form of a odd number is 2n + 1 where n is any integer. You agree or not?

Answer 6

yessss

Answer 7

i took the numbers as 2n + 1 and 2n + 3 . Both are odd

Answer 8

i got it brother...... th nxx where r u from

Answer 9

india

Answer 10

nd u??