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

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billdelaney's profile pic

William Delaney | (Level 3) Distinguished Educator

Posted on

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's profile pic

najm1947 | Elementary School Teacher | (Level 1) Valedictorian

Posted on

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

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