SOLUTION: The sum of the ages of Keegan and Esmeralda is 92 years. 12 years ago, Keegan's age was 3 times Esmeralda's age. How old is Keegan now?

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Question 1126106: The sum of the ages of Keegan and Esmeralda is 92 years. 12 years ago, Keegan's age was 3 times Esmeralda's age. How old is Keegan now?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
k for Keegan,

k-12=3%28%2892-k%29-12%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the ages of Keegan and Esmeralda is 92 years.
Keegan+%2B+Esmeralda=92
Keegan+=92-Esmeralda....eq.1

12+years ago, Keegan's age was 3 times Esmeralda's age
Keegan-12+=3%28Esmeralda-12%29
Keegan-12+=3Esmeralda-36
Keegan=3Esmeralda-36%2B12+
Keegan=3Esmeralda-24+..........eq.2
from eq.1 and eq.2 we have
3Esmeralda-24+=92-Esmeralda
3Esmeralda%2BEsmeralda+=92%2B24
4Esmeralda+=116
Esmeralda+=116%2F4
Esmeralda+=29
then
Keegan+=92-Esmeralda....eq.1
Keegan+=92-29
Keegan+=63
answer: Keegan is 63 years old now?