SOLUTION: raki is 26 years younger than her mother. in 9 years, her mother will be twice as old as raki. how old is each now.

Question 363486: raki is 26 years younger than her mother. in 9 years, her mother will be twice as old as raki. how old is each now.
Found 2 solutions by robertb, vasumathi:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
r = m-26, and 2(r+9) = m+9. By direct substitution,
2(m-26+9) = m+9,
2(m-17) = m+9,
2m - 34 = m+9,
m = 43, age of the mother.
r = 43 - 26 = 17, age of raki.
Answer by vasumathi(46) (Show Source): You can put this solution on YOUR website!
let the age of raki = r
and the mother's age = m
raki is 26 years younger than her mother
so we have
r = m-26
in 9 years the age of raki = r+9
and the mother's age in 9 years would be m+9
in 9 years, her mother will be twice as old as raki.
so
m+9 = 2(r+9)
but we have r = m-26
let us plug in this in the equation above
m+9 = 2(m-26 +9)
m+9 = 2(m-17)
m+9 = 2m -34
subtract m on both sides
m+9-m = 2m-34-m
9 = m-34
add 34 on both sides
9+34 = m-34 + 34
so m = 43
so mother's present age = 43 years
and raki's present age is
43-26=17 years

RELATED QUESTIONS
Karen is 25 years younger than her mother, in 4 years, her mother will be twice as old as (answered by josgarithmetic,greenestamps)
a mother is 25 years old than her daughter. in two years the mother will be twice as old... (answered by happy24ss)
The son is 23 years younger than the mother. In seven years, the mother will be twice as... (answered by ankor@dixie-net.com)
rose is 25 years younger than her mother. five years ago, her mother was twice as old as (answered by lwsshak3)
A mother is three times as old as her daughter, in twelve years time she will be twice as (answered by josmiceli)
Liza is 25 years younger than her mother. After 4 years, her mother's age will be twice... (answered by advanced_Learner)
Joana is 11 years old today. If her mother is 31 years old, how many years from now will... (answered by charu91)
Mary grace is 25yrs younger than her mother. In 4yrs her mother will be twice as old at... (answered by josmiceli,MathTherapy)
i need help with this problems. 1. rose is 6 years older than her sister cora. in four (answered by sdmmadam@yahoo.com)