If a, b, c and d are integers such that a+b+c and b+c+d are both odd then a+d is odd or even?

If a, b, c and d are integers such that a+b+c and b+c+d are both odd then a+d is odd or even?




Solution -

a+b+c=odd
b+c+d=odd ADD
a+2b+2c+d=even
a+d=even