SOLUTION: Amy is twice as old as Lucy. Three years from now the sum of their ages will be 42. How old is Amy? Please show steps clearly. I want to understand the process. Thank you.

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Question 711598: Amy is twice as old as Lucy. Three years from now the sum of their ages will be 42. How old is Amy?
Please show steps clearly. I want to understand the process.
Thank you.
Found 2 solutions by sachi, Dickiedannie:
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
Amy is twice as old as Lucy.
SO let lucy is x then amy is 3x
Three years from now
lucy is x+3 then amy is 3x+3
the sum of their ages will be 42.
so x+3+3x+3=42
or 4x+6=42
or 4x=42-6=36
or x=36/4=9
so lucy is 9 yrs and amy is 27 yrs

Answer by Dickiedannie(6) About Me  (Show Source):
You can put this solution on YOUR website!
ANSWER::
Let Lucy's age be X and Amy's age must now be 2X (Due to the fact that it is said Amy is twice as old as Lucy)
The current age of Amy is 2X and for Lucy is X
Then, Three yrs to come we have (2x+3->Age for Amy and X+3->age for Lucy)
Also the sum of their age will be 42:-> (2X+3)+ (X+3)=42
open the brackets to have 3X+6=42, solve for X now as You will get X= 12
THEREFORE, Amy's age is 2X= 2*12= 24 years