SOLUTION: My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20 years less than three times my age. Find my age and my mother’s age.

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Question 720107: My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20 years less than three times my age. Find my age and my mother’s age.
Answer by god2012(113) About Me  (Show Source):
You can put this solution on YOUR website!
Let 'm' be the age of mother and 'k' be the age of the kid.
Given : m = 2k + 12 -------eq.1
After 8 years ,
m' = m + 8 , k' = k +8
m' = 3k' - 20 = 3(k + 8) - 20 = 3k + 4 = m + 8
m = 3k - 4 ------------eq.2
put eq.2 in eq.1
3k - 4 = 2k + 12
k = 16
m = 44