Question 7 Answer & Explanation - SAT Algebra

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algebra

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?

Correct Answer: D

Choice Ahoice B is the correct answer.

Define: Son = $x$ , Father = $x + 30$ .
In 10 years: Son = $x+10$ , Father = $x+40$ .
Equation: $x + 40 = 2(x + 10)$
Solve: $x + 40 = 2x + 20 \rightarrow 20 = x$
Verify: Son 20, Father 50. In 10 years: 30, 60. $60 = 2(30)$ ✓

Choice Ahoice C is incorrect because this is the father's age.

Choice Ahoice D is incorrect because calculation error.

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