For which of the following conditions will the sum of integers m and n always be an odd number?

F. m is an odd integer

G. n is an odd integer

H. m and n are both odd integers

J. m and n are both even integers

K. m is an odd integer and n is an even integer

Question

Mathematics

Carson Liu

1 February, 06:13

For which of the following conditions will the sum of integers m and n always be an odd number?

F. m is an odd integer

G. n is an odd integer

H. m and n are both odd integers

J. m and n are both even integers

K. m is an odd integer and n is an even integer

+4

Answers (1)

Know the Answer?

Lindsay Downs · Answer 1

Option K

m is an odd integer and n is an even integer

Step-by-step explanation:

The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of + 1 at the end shows the number is not divisible by 2 hence an odd number.

Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.

Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.

For which of the following conditions will the sum of integers m and n always be an odd number?F. m is an odd integerG. n is an odd integerH. m and n are both odd integersJ. m and n are both even integersK. m is an odd integer and n is an even integer

For which of the following conditions will the sum of integers m and n always be an odd number?

F. m is an odd integer

G. n is an odd integer

H. m and n are both odd integers

J. m and n are both even integers

K. m is an odd integer and n is an even integer