SOLUTION: Anna made the following announcement: "In 7 years, i will be half my mothers age. Thirteen years ago, she was 6 times as old as i was then." How old is Anna?

Question 1020390: Anna made the following announcement:
"In 7 years, i will be half my mothers age. Thirteen years ago, she was 6 times as old as i was then."
How old is Anna?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= Anna's age
= Anna's mother's age
= Anna's mother's age in 7 years
= Anna's age in 7 years
We know that because Anna said
"In 7 years, i will be half my mothers age."
<--><--><-->

= Anna's age thirteen years ago
= Anna's mother's age thirteen years ago
We know that because Anna said of her mother
"Thirteen years ago, she was 6 times as old as i was then."

So we solve
<--><--><--><--><--> .
Anna is years old.

NOTE/CHECKING:
In years Anna will be and her mother will be .
They are years apart,
so right now Anna's mother's age is .
Thirteen years ago, Anna's age was ,
and her mother's age was .
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