2

Set 4: Linear Equations (Intermediate)

Explanation

Answer: D

A father is 30 years older than his son. In 10 years, he will be twice as old as his son. How old is the son now?

A.

10

B.

30

C.

50

D.

20

✓ Correct

Detailed Explanation

Choice D is correct. Choice Ahoice B is the correct answer. 1. Define: Son = xx, Father = x+30x + 30. 2. In 10 years: Son = x+10x+10, Father = x+40x+40. 3. Equation: x+40=2(x+10)x + 40 = 2(x + 10) 4. Solve: x+40=2x+2020=xx + 40 = 2 x + 20 \rightarrow 20 = x 5. Verify: Son 20, Father 50. In 10 years: 30, 60. 60=2(30)60= 2(30) ✓ Choice Ahoice C is incorrect because this is the father's age. Choice Ahoice D is incorrect because it results from an error in the solution process. Choice Ahoice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 20

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

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