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Linear Equations in One Variable

SAT Math· difficulty 4/5

Five years ago, Anita was three times as old as her brother. Today, she is twice his age. How old is Anita today?

  • A

    25

  • B

    10

  • C

    15

  • D

    20

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Explanation

Let brother be bb now, Anita 2b2b. Five years ago: 2b−5=3(b−5)2b - 5 = 3(b - 5), so 2b−5=3b−152b - 5 = 3b - 15 and b=10b = 10. Anita is 2020.

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