Question 899750
a woman is currently 21 years older than her daughter. Eleven years before the current time. the daughter was two-thirds as old as her mother. what is the current age of the mother?

let daughter's age be x now

Mother's age now = (x+21) 

11 years ago

daughter's age = (x-11)

Mother's age = (x+21)-11

(x-11)= (2/3)(x+10)

3(x-11)=2(x+10)

3x-33=2x+20

3x-2x=20+33
x=53 

Daughter's age now = 53 years