SOLUTION: Josh is two times as old as Claire. Nine years ago, Josh was 5 times as old as Claire. Write and solve an equation to find Claire's age right now.
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Question 1099490: Josh is two times as old as Claire. Nine years ago, Josh was 5 times as old as Claire. Write and solve an equation to find Claire's age right now. Answer by ikleyn(52915) (Show Source):
The condition says that J = 2C now.
9 years ago Josh was J-9, or 2C-9 years old.
The second part of the condition says
2C - 9 = 5(C-9).
2C - 9 = 5C - 45 ====> 45 - 9 = 5C - 2c ====> 36 = 3C ====> C = = 12.
Answer. Clair is 12 years now, Josh is 24 years.
