My mother is 12 years, more than twice my age. After 8 years, my mother age will be 20 years less than 3 times my age. Find my age. Add my mothers age.
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Answer: Let your age be x.
Then your mother's age will be 2x + 12.
After 8 years,
Your age will be x + 8.
Your mother's age will be 3(x + 8) - 20 = 3x + 24 - 20 = 3x + 4.
This is equal to 2x + 12 + 8 = 2x + 20
2x + 20 = 3x + 4
3x - 2x = 20 - 4
= x = 16
Your age at now = 16
Your mother's age at now = 2 x 16 + 12 = 32 + 12 = 44
44 is the answer.
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