In 7 years, I will be half my mother's age. Thirteen years ago, she was 6 times as old as I was then.

How old is Anna now?

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- November 13th 2008, 06:44 PMmagentaritaAge Word Problem
In 7 years, I will be half my mother's age. Thirteen years ago, she was 6 times as old as I was then.

How old is Anna now?

- November 13th 2008, 07:28 PMRapha
- November 14th 2008, 08:40 AMSoroban
Hello, magentarita!

I assume your mother's name is Anna . . .

Quote:

In 7 years, I will be half Anna's age.

Thirteen years ago, she was 6 times as old as I was then.

How old is Anna now?

Let = my age (now).

Let = Anna's age (now).

Seven years from now, both of us are 7 years older.

. .

. .

We have: .

Thirteen years ago, both of us were 13 years younger.

. .

. .

We have: .

Subtract [2] from [1]: .

Substitute into [1]: .

Therefore, Anna is 43 years old.

- November 14th 2008, 02:01 PMmagentaritaYou know...............