SOLUTION: Maria is five times as old as her daughter. Three years ago she was seven times as old as her daughter. How old are they?
Algebra.Com
Question 1108676: Maria is five times as old as her daughter. Three years ago she was seven times as old as her daughter. How old are they?
Answer by chen(11) (Show Source): You can put this solution on YOUR website!
Maria is five times as old as her daughter. Three years ago she was seven times as old as her daughter. How old are they?
Maria’s current age: m
Daughter’s current age: d
Obviously m=5*d
3 years ago, Maria’s age was m-3 and her daughter’s age was d-3, so:
(m-3)=7*(d-3) so
m-3=7d-21. Replacing m from the above relation:
5d-3=7d-21
21-3=7d-5d
2d=18 so d=9 So the daughter is 9 years old and Maria is 45.
RELATED QUESTIONS
A mother is now four times as old as her daughter, three years ago, she was five times as (answered by Timnewman)
A mother is 30 years older than her daughter. Five years ago she was four times as old as (answered by Earlsdon)
A mother is 30 years older than her daughter. Five years ago she was four times as old as (answered by ankor@dixie-net.com)
a woman is twice as old as her daughter twenty years ago she was four times as old as her (answered by stanbon)
A mother is 3 times as old as her daughter. Seven years ago, she was 5 times as old. How... (answered by mathsmiles)
two years ago, a woman was seven times as old as her daughter but in three years she... (answered by josgarithmetic)
A mother is now four times as old as her daughter. three years ago she was five times as... (answered by ewatrrr,Fombitz)
A year ago a mother was four times as old as her daughter. Three years ago she was five... (answered by ankor@dixie-net.com)
John is thrice as old as her daughter Alice. Ten years ago John was five times as old as... (answered by ankor@dixie-net.com)