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
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