SOLUTION: a mother was 26 years old when her daughter ws born. the mother is now 6 years less than 3 times as old as her daughter. How old is the daughter now?

Question 935902: a mother was 26 years old when her daughter ws born. the mother is now 6 years less than 3 times as old as her daughter. How old is the daughter now?
Found 2 solutions by nerdybill, josmiceli:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a mother was 26 years old when her daughter ws born. the mother is now 6 years less than 3 times as old as her daughter. How old is the daughter now?
.
Let d = daughter's age
then from "mother was 26 years old when her daughter was born" we have:
d+26 = mother's age
.
from "the mother is now 6 years less than 3 times as old as her daughter"
3d-6 = d+26
2d-6 = 26
2d = 32
d = 16 years old (answer)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the mother's age now
Let = the daughter's age now
--------------------------------
The difference in their ages never changes
It is
In terms of their present ages,
(1)
--------------------
Also given is:
(2)
--------------------
Substitute (2) into (1)
(1)
(1)
(1)
The daughter is 16 now
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
A mother is 5 times older than her daughter. In 6 years time the mother will 3 times as... (answered by josgarithmetic)
Two years ago, a mother was five times as old as her daughter. Eight years from now, her... (answered by josgarithmetic)
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 now four times as old as her daughter, three years ago, she was five times as (answered by Timnewman)
A mother is 27 years older than her daughter. A year ago, the mother was twice as old as... (answered by 24HoursTutor.com)
a mother is 20 years older than her daughter. in 7 years the mother will be 3 times as... (answered by josmiceli,mananth)
A mother is now 3 times as old as the daughter. twelve years ago she was six times as old (answered by JulietG)
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)