Question

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 mother age?

Answer 1

let my age be x
my mother's age=12+2x
after 8 years 
my age = x+8
my mother's age = 12+8+2x = 20+2x
mother's age given = 20-3x
so, 20+2x = 20-3x
2x +3x=20-20
5x=0
x=0\5=0
so x=0 
12+2x=12+2*0=12
so when you will be of 0 years,then your mother's age will be 12 

Answer 2

Answer:

et my age be x

my mother's age=12+2x

after 8 years 

my age = x+8

my mother's age = 12+8+2x = 20+2x

mother's age given = 20-3x

so, 20+2x = 20-3x

2x +3x=20-20

5x=0

x=0\5=0

so x=0 

12+2x=12+2*0=12

so when you will be of 0 years,then your mother's age will be 12