Multiple choice

Emory is 27 years younger than his father. Seven years from now, she will be 2.5 times younger than his father's age. What is Emory's present age (in years)?

  1. 20

  2. 13

  3. 11

  4. 16
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Emory's current age be E and father's current age be F. From the problem: E = F - 27. After 7 years: E + 7 = (F + 7) / 2.5. Substituting F = E + 27 gives E + 7 = (E + 34) / 2.5. Solving: 2.5(E + 7) = E + 34, so 2.5E + 17.5 = E + 34, therefore 1.5E = 16.5 and E = 11. Verify: Father is 38, after 7 years Emory is 18 and father is 45, and 18 = 45/2.5 = 18.

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