Solve the problem.
-Derek is twice as old as Sarah. Two years ago the sum of their ages was 14. How old is each now?
A) Derek: 14 yr old; Sarah: 29 yr old
B) Derek: 29 yr old; Sarah: 13 yr old
C) Derek: 16 yr old; Sarah: 26 yr old
D) Derek: 28 yr old; Sarah: 14 yr old

Question

Quizplus · Accepted Answer

Derek is twice as old as Sarah, so if Sarah is x years old, Derek is 2x years old. Two years ago, their ages would be (2x - 2) + (x - 2) = 14. Solving this equation, we find x = 14, so Sarah is 14 years old and Derek is 28 years old.

Solve the Problem. -Derek Is Twice as Old as Sarah. Two Years Ago