# The square of Pat's age now is equal to her age in 30 years time. How old is Pat now?

Jan 22, 2016

6

#### Explanation:

Let Pat's age be $x$.

$x + 30 = {x}^{2}$

${x}^{2} - x - 30 = 0$

$\left(x - 6\right) \left(x + 5\right) = 0$

$x = 6$ or $x = - 5$ (reject!)

Pat is 6 years old.

Pat's age in 30 years is 36.

The square of pat's age is also 36.