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Linear Equations in One Variable

SAT Math· difficulty 3/5

Tom is currently 44 times as old as his sister Lisa. In 66 years, he will be twice as old as her. How old is Tom now?

  • A

    24

  • B

    16

  • C

    8

  • D

    12

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Explanation

Let Lisa be LL. Tom is 4L4L. In 6 years: 4L+6=2(L+6)4L + 6 = 2(L + 6), so 4L+6=2L+124L + 6 = 2L + 12, giving L=3L = 3. Tom is 4(3)=124(3) = 12.

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