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

$L-Lilys\ age\\\\\dfrac{2}{3}L=19-3\\\\\dfrac{2}{3}L=16\ \ \ \cdot\frac{3}{2}\\\\L=8\cdot3\\\\L=24\\\\Answer:Lily\ is\ 24\ old.$

Answer 2

Answer:

The age of Lily is 24 years.

Step-by-step explanation:

To find the age of Lily, you have:

• Hillary's age is 3 years greater than 2/3. Expresed in a mathematical form:  $\frac{2}{3}x + 3$

• Hillary is 19 years old. Now, you have an equality: $\frac{2}{3}x + 3 = 19$

Solve the equation:

$\frac{2}{3}x + 3 = 19$ // substract 3 in both sides

$\frac{2}{3}x + 3 - 3 = 19 - 3$  // solve

$\frac{2}{3}x  = 16$  // multiply by 3/2 in both sides

$\frac{2}{3}x \frac{3}{2}  = 16 \frac{3}{2}$  // solve

$x  = 16 \frac{3}{2}$  // solve

$x  = 24$  // solve