Question

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

Answer 1

6

Explanation:

Let Pat's age be `x`.

`x+30 = x^2`

`x^2 - x - 30 = 0`

`(x - 6)(x + 5) = 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.