SOLUTION: Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie now?

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Question 1044717: Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie now?

Found 2 solutions by ikleyn, advanced_Learner:
Answer by ikleyn(52786)   (Show Source):
You can put this solution on YOUR website!
.
Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie now?
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B - K = 2 (1) ("Katie is 2 years younger than her brother") B + 12 = 2K (2) ("In 12 years . . . ) To solve this system, express B = K + 2 from (1) and then substitute it into 2). You will get a single equation for K: (K + 2) + 12 = 2K, or K + 14 = 2K, or K = 14. Answer. Katie is 14 years now.

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Answer by advanced_Learner(501)   (Show Source):
You can put this solution on YOUR website!
katie age now x-2 12 years x-2+12
bro age now x 12 years x+12
x+12=2(x-2)
x=16
katie age now 14 12 years 26
bro age now 16 12 years 28
indeed 28=2*14