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
