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Acemy

Linear Equations in One Variable

SAT Math· difficulty 4/5

Aaron is twice as old as Bea was when Aaron was as old as Bea is now. Aaron is currently 2424. How old is Bea?

  • A

    20

  • B

    18

    check_circle
  • C

    16

  • D

    12

Explanation

Let Bea be bb. When Aaron was bb, that was 24−b24 - b years ago. Bea was b−(24−b)=2b−24b - (24 - b) = 2b - 24. Aaron is twice that: 24=2(2b−24)=4b−4824 = 2(2b - 24) = 4b - 48. So 4b=724b = 72 and b=18b = 18.

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