Question
Thu June 05, 2008 By:

Please answer the following question.

Expert Reply
Wed July 16, 2008

x and y are positive integers.

thus, y = 2m for some positive integer m

(x+y) is odd number

so, x+y = 2n +1 for some n in N.

x+3y = x+y+2y

         = 2n+1+2m

         = 2(n+m)+1

n and m are positive integers, hence n+m is also a positive integer say k

n+m=k

x+3y = 2k+1

hence, x+3y is odd number.

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