Mathematics

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)

is divisible by

2

and therefore even. B. Let

x = 2k + 1

and

y = 2l + 1

for some integers

k

and

l

. C. Substitute the expressions for

x

and

y

into

x + y

. D. Simplify to obtain

x + y = 2k + 1 + 2l + 1

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