Maria is 6 times as old as Tina. In 20 years, Maria will be only twice as old as Tina. How old is Maria now?

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- July 6th 2006, 01:09 PMJudifiguring out the age
Maria is 6 times as old as Tina. In 20 years, Maria will be only twice as old as Tina. How old is Maria now?

- July 6th 2006, 01:23 PMQuickQuote:

Originally Posted by**Judi**

first, define your variables...

Next, write out what you know.

Right now Maria is 6 times as old as Tina, therefore...

In 20 years Maria will only be twice as old as Tina, therefore...

Now we solve both equations for

Now we combine the two equations...

multiply by 6

extend...

multiply by 3

subtract from both sides...

Voila! - July 6th 2006, 02:00 PMJudi
Thank you,

Judi - July 6th 2006, 02:02 PMSoroban
Hello, Judi!

Here's another approach . . . with one variable.

Quote:

Maria is 6 times as old as Tina.

In 20 years, Maria will be only twice as old as Tina.

How old is Maria now?

Let = Tina's age.

Since Maria's age is 6 times Tina's age,

. . then = Maria's age.

In 20 years, they will both be 20 years older.

. . Tina will be years old.

. . Maria will be years old.

In the future, Maria's age is twice Tina's age.

. . . . . . . . . . . . . .

. . . . . . . . . . . .

And*there*is your equation . . . go for it!

- July 6th 2006, 02:11 PMJudi
You guys are awesome!!!