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

Expert Answers
William Delaney eNotes educator| Certified Educator

When Leah was 3 Tanya would have been 15. Three years later Leah would be 6. There was only one time when Tanya would have been five time as old as Leah. It is just a matter of adding three more years to Leah's age.

najm1947 | Student

Let the age of Leah be x

Age if Tanya = x+12

3 years ago:

age of Leah = x-3 and age of Tanya = x+9, which was t times age of Leah

5*(x-3) = x+9

5x-15 = x+9

5x-x = 9+15

4x = 24

x = 24/4 = 6

Leah is 6 years old

3 years ago Leah was 3 and Tanya was 15, 5 times age of Leah