SOLUTION: Sophia`s father age is two years older than her mother. Presently, Sophia`s age is 1/4 of her father`s age. Two years ago, the sum of her parent`s age was 58. How old is Sophie now

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Sophia`s father age is two years older than her mother. Presently, Sophia`s age is 1/4 of her father`s age. Two years ago, the sum of her parent`s age was 58. How old is Sophie now      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 992310: Sophia`s father age is two years older than her mother. Presently, Sophia`s age is 1/4 of her father`s age. Two years ago, the sum of her parent`s age was 58. How old is Sophie now?
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
let mother's age be "x"
Father's age=x+2
sofia's age=(x+2)/4
In two years time,
Mother's age=x-2
Father's age=x+2-2=x
Then,
x-2+x=58
2x-2=58
2x=60
x=30
Mother is 30yrs,
Father's age is 32yrs
Sofia's age is (30+2)/4=8yrs
HOPE THIS HELPS?