3

Set 4: Linear Equations (Advanced)

Explanation

Answer: A

The sum of three consecutive integers is 60. What is the largest integer?

A.

21

✓ Correct
B.

20

C.

19

D.

22

Detailed Explanation

Choice A is correct. Choice C is the correct answer. 1. Define: x,x+1,x+2x, x+1, x+2. 2. Equation: 3x+3=603x + 3 = 60 3. Subtract 3: 3x=573x = 57 4. Divide by 3: x=19x = 19 5. Largest: x+2=21x + 2 = 21 6. Verify: 19+20+21=6019+ 20 + 21 = 60 ✓ Choice D is incorrect because this is the smallest. Choice C is incorrect because this is the middle. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 21

Why others are wrong:
B: Choice B 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.

🎯 Keep Practicing!

Master all sections for your best SAT score