Set 6: Linear Equations (Advanced)

Explanation

Answer: B

The sum of three consecutive multiples of 5 is 75. What is the middle number?

✓ Correct

Detailed Explanation

Choice B is correct. Choice C is the correct answer. 1. Define: $x, x+5, x+10$ . 2. Equation: $3x + 15 = 75$ 3. Subtract 15: $3x = 60$ 4. Divide by 3: $x = 20$ 5. Middle: $20+ 5 = 25$ Choice D is incorrect because this is the smallest. Choice D is incorrect because this is the largest. Choice A is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 25

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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