1. ## high school

maria is one-ninth as old as her mother. in 3 years, she will be one-fifth as old as her mother will be then. find their presant age.

2. Originally Posted by ik_km
maria is one-ninth as old as her mother. in 3 years, she will be one-fifth as old as her mother will be then. find their presant age.
Let the mother's age be $M$

Then Maria's current age is $\frac M9$

in three years time, maria will be $\frac M9 + 3$ years old, and her mother will be $M + 3$ years old. Since at this time, Maria's age will be one-fifth of her mother's age, we have:

$\frac M9 + 3 = \frac 15 (M + 3)$

Now solve for $M$ and you can find their ages