The steps below aim to prove that the sum of two odd integers is even

MATHEMATICS · Subjective · A Level · Mathematics · Proof · Proof

Problem

The steps below aim to prove that the sum of two odd integers is even. They are not in the correct logical order. Arrange the steps in proper sequence and write only the corresponding letters. A. Conclude that x+y=2(k+l+1)x + y = 2(k + l + 1) is divisible by 22 and therefore even. B. Let x=2k+1x = 2k + 1 and y=2l+1y = 2l + 1 for some integers kk and ll. C. Substitute the expressions for xx and yy into x+yx + y. D. Simplify to obtain x+y=2k+1+2l+1x + y = 2k + 1 + 2l + 1.

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