Question

hillarys age is 3 years greater than 2/3 times Lilys age. if hillary is 19 years old, how old is Lily

Answer 1

`L-Lilys\ age\\\\(2)/(3)L=19-3\\\\(2)/(3)L=16\ \ \ \cdot(3)/(2)\\\\L=8\cdot3\\\\L=24\\\\Answer:Lily\ is\ 24\ old.`

Answer 2

The age of Lily is 24 years.

Explanation:

To find the age of Lily, you have:

• Hillary's age is 3 years greater than 2/3. Expresed in a mathematical form:
  `(2)/(3)x + 3`

• Hillary is 19 years old. Now, you have an equality:
  `(2)/(3)x + 3 = 19`

Solve the equation:

`(2)/(3)x + 3 = 19` // substract 3 in both sides

`(2)/(3)x + 3 - 3 = 19 - 3` // solve

`(2)/(3)x  = 16` // multiply by 3/2 in both sides

`(2)/(3)x (3)/(2)  = 16 (3)/(2)` // solve

`x  = 16 (3)/(2)` // solve

`x  = 24` // solve