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Linear Equations in One Variable

SAT Math· difficulty 3/5

Anna's age is half her father's. In 10 years, she will be 2/3 of his age. How old is Anna now?

  • A

    10

    check_circle
  • B

    20

  • C

    15

  • D

    25

Explanation

Let A=F/2A = F/2. A+10=23(F+10)A + 10 = \frac{2}{3}(F + 10) → F2+10=2F+203\frac{F}{2} + 10 = \frac{2F + 20}{3}. Multiply by 6: 3F+60=4F+403F + 60 = 4F + 40 → F=20F = 20, A=10A = 10.

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