Ager 10. 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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I think you mean,

Today, my mother's age is 12 years more than twice my age.  8 years from now, my mother's age will be 20 years less than three times my age. Find my age and my mother's age.

Let x = your age today

Let y = mom's age today

today's equation

y = 2x + 12

equation in 8 years

y + 8 = 3(x + 8) - 20

y + 8 = 3x + 24 - 20

     y = 3x - 4

3x - 4 = 2x + 12

      x = 16 years

y = 2(16) + 12

y = 44 years

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