73. If R, S, and T are integers and R + S and

T - S are both odd numbers, which of the

following must be an even number?

A. R + T

B. S + T

C. R

D. S

E. T

Question

Thalia Crosby

12 October, 18:05

+4

Answers (1)

Know the Answer?

Mary Greer · Answer 1

R+S is odd==>R+S=2n+1 (1)

T-S is odd = = >T-S=2k+1 (2)

(1) + (2) = = >R+T+S-S=2n+1+2k+1

==>R+T=2 (n+k+1) is even

Answer A

73. If R, S, and T are integers and R + S andT - S are both odd numbers, which of thefollowing must be an even number?A. R + TB. S + TC. RD. SE. T