SOLUTION: The sum of the ages of Petra and her mother is 47. Her mother is 14 years more than twice as old as Petra. How old are Petra and her mother? Thank you for your help with this wo

Question 761992: The sum of the ages of Petra and her mother is 47. Her mother is 14 years more than twice as old as Petra. How old are Petra and her mother?
Thank you for your help with this word problem.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Mother = x
Petra = y
x + y = 47 ...1
Mother = 14 years older than twice as old as Petra
x = 14 + 2y
Substitute in (1)
x + y = 47
(14 + 2y) + y = 47
14 + 3y = 47
3y = 47 - 14
3y = 33
y = 11
Petra = y = 11 years old
Mother = 14 + 2y = 36 years old
36 + 11 = 47.
Hope this helps.
:-)
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