My mother is 12 years more than twice my age. after 8 years she will be 20 years less than three times my age ... find my age and my mothers age

My present age - x

Mom's age - 2x + 12

My age after 8 yrs - x + 8

My mom's age after 8 years - 2x+20

Equation formed-

3 (x+8) - 20 = 2x+20

3x + 24 - 20 = 2x + 20

x = 20-4 = 16

Therefore, my present age = x = 16 yrs

And my mom's present age = 2x + 12 = 32+12 = 44.