SOLUTION: A mother is 27 years older than her daughter. A year ago, the mother was twice as old as her daughter. how old is each now?

Question 147416: A mother is 27 years older than her daughter. A year ago, the mother was twice as old as her daughter. how old is each now?
Answer by 24HoursTutor.com(40) (Show Source): You can put this solution on YOUR website!
Assume the present age of the mother to be x
Assume the present age of the daughter to be y
According to the information given at present the mother is 27 years elder than her daughter giving us the following equation :
x = 27 + y
Now, the scenario shifts to one previous year , so now :
age of mother = x-1
age of daughter=y-1
It is given that a year earlier the mother was twice the daughter's age, so we have the following equation:
x-1{age of mother an year ago}=2(y-1) {age of daughter one year ago}
x-1=2y-2
x=2y-2+1
x=2y-1
Now substituting it in our previous equation we get :
2y-1=27+y
2y-y=27+1
y=28
x+=27+y=27+28=55
Ans: Age of mother = x = 55
Age of daughter = y = 28
The above question is solved by one of the experts from 24HoursTutor.com
We provide live 1:1 online homework help
1. 24X7 tutors available
2. Certified tutors
3. Only for $9.99/hr
RELATED QUESTIONS
a mother is 25 years old than her daughter. in two years the mother will be twice as old... (answered by happy24ss)

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 mother is 20 years older then her daughter. Ten years ago the mother was twice as old... (answered by Mr_Mathman,Maths68)

A mother is 25 years older than her daughter. Five years ago, the daughter was half as... (answered by josmiceli)

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 3 times as old as her daughter. Seven years ago, she was 5 times as old. How... (answered by mathsmiles)

A mother is 5 times older than her daughter. In 6 years time the mother will 3 times as... (answered by josgarithmetic)

a mother is twice as old as her daughter now. sixteen years ago,she was four times as... (answered by Maths68)