5

Set 4: Linear Equations (Intermediate)

Explanation

Answer: B

Two consecutive integers have a sum of 73. What is the smaller integer?

What is the smaller of the two integers?

A.

36

B.

38

✓ Correct
C.

35

D.

37

Detailed Explanation

Choice B is correct. Let x and x+1 be the consecutive integers. x + (x+1) = 73, so 2 x + 1 = 73. Then 2 x = 72, and x = 36.

Key Steps:

The correct answer is 38

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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