# Kelcey is 45. She is also three more than three times Emily's age. How old is Emily?

Mar 27, 2018

K $= 45$ and E. and Emiliy is 14 years old.

#### Explanation:

K is for Kelcey's age (what a name LOL) and E is for Emily's age.

$K = 45 = \left(3 \times E\right) + 3$

$45 - 3 = \left(3 \times E\right)$

$42 = 3 \times E$

$\frac{42}{3} = 14 = E$

Emily is 14 years old.

Mar 27, 2018

Emily is $14$ years old.

#### Explanation:

Let $K$ be the age of Kelcey and $E$ be the age of Emily.

"Kelcey is $45$":

$K = 45$

"Kelcey is also three more than three times Emily's age":

$K = 3 + 3 E$

We can now write:

$45 = 3 + 3 E$

Solving for $E$:

$45 - 3 = 3 + 3 E - 3$

$42 = 3 E$

$\frac{42}{3} = \frac{3 E}{3}$

$14 = E$

Hence, Emily is $14$ years old.