Posted by **cely** on Wednesday, October 7, 2009 at 6:04am.

Tanya is 12 years older than leah. Three years ago, Tanya was five times as old as leah. How old is leah?

- math -
**Reiny**, Wednesday, October 7, 2009 at 8:52am
let Leah present age be x yrs

then Tanya is now x+12

Three years ago, Leah was x-3

and Tanya was x+12 - 3 or x+9

at that time "Tanya was five times as old as leah"

x+9 = 3(x-3)

x+9 = 3x - 9

18 = 2x

x = 9

So Leah is now 9, and Tanya is now 21

check:

three years ago Leah was 6 and Tanya was 18

Was Tanya three times as old?

is 18 equal to 3 times 6?

- math -
**Anonymous**, Monday, November 12, 2012 at 2:16pm
Tanya's age t is three times Martin's age m.

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