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 my mother’s age.

Answer 1

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 = 4

Answer 2

Answer:

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Step-by-step explanation:

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