Lisa is twice as old as her sister. Five years ago, the sum of their ages was 25. How old is Lisa now?
15 years old
18 years old
20 years old
24 years old
Correct Answer: C
Choice C is the correct answer. Let = Lisa's age now and = sister's age now.
System:
Step 1: Simplify second equation:
Step 2: Substitute :
Five years ago: Lisa was 15 and sister was 5. Sum: .
Sister = 12. Five years ago: .
, so which isn't an integer.
(sister) Five years ago:
💡 Strategic Tip: Age difference remains constant; work backwards from "years ago."
Choice A is incorrect because if Lisa is 15, sister is 7.5 (not integer).
Choice B is incorrect because if Lisa is 18, sister is 9. Five years ago: .
Choice D is incorrect because if Lisa is 24, sister is 12. Five years ago: .