Here's another math puzzle for you, this one from the 16th or 17th century:

You have four (integral) weights (

`w_1, w_2, w_3, w_4`

) and a balance scale such that you can weigh any object weighing from 1 lb to 40 lbs (no fractions). The weights may go on either side of the scale (eg, with the object, or in the opposite pan). What are the`w_i`

?

Some background and the solution here: **Bachet's Four Weights Problem**.