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.

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- Dec 29th 2007, 08:10 PMik_kmhigh 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.

- Dec 29th 2007, 08:49 PMJhevon
Let the mother's age be $\displaystyle M$

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

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

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

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