Question

please answer qno.1 and 3

Answer 1

hi friend,

1.

a and b are two odd integers,a > b so,

let a be 5, B be 3..

according to problem we have to prove the one of the two numbers a+b÷2 ; a-b÷2 is odd and other is even

so substitute the A and B in equations

A+B/2 and A-B/2

5+3/2 and 5-3/2

8/2 and 2/2

4 and 1


one is even and other is odd.....


.: hence proved....


3.

we have to prove product of three consecutive odd numbers is divisible by 6.

take any three consecutive number...I chosen 2,3,4...

multiply them,
2×3×4=24

24 divisible by 6

.: hence it proved .

hope it helps...