Henry Ernest Dudeney/Puzzles and Curious Problems/152 - The Length of a Lease/Solution

by : $152$

 * The Length of a Lease

Solution
$54$ years have elapsed, leaving $45$ years to go.

Proof
Let $t$ be the time elapsed on this lease.

We have:

and we see that:
 * $\dfrac 2 3 54 = 36 = \dfrac 4 5 45$