3
algebra

John is 3 times as old as Mary. In 5 years, he will be twice as old as she is. How old is Mary now?

A

5

B

10

C

15

D

3

Correct Answer: A

Choice Ahoice D is the correct answer.

  1. Define: Mary = xx, John = 3x3x.
  2. In 5 years: Mary = x+5x+5, John = 3x+53x+5.
  3. Equation: 3x+5=2(x+5)3x + 5 = 2(x + 5)
  4. Solve: 3x+5=2x+10x=53x + 5 = 2x + 10 \rightarrow x = 5
  5. Verify: Mary 5, John 15. In 5 years: Mary 10, John 20. 20=2(10)20 = 2(10)

Choice Ahoice C is incorrect because this is John's age.

Choice Ahoice B is incorrect because calculation error.

Choice Ahoice D is incorrect because calculation error.