Number Product
Find the three‑digit number abc equal to the value of the expression
(10 – a)(10 – b)(10 – c), where a ≠ 0. That is,
abc = (10 – a)(10 – b)(10 – c),
where the left side of the
equation is a three‑digit number but the right side of the equation is the
product of three numbers. (There is only one solution with c ≠ 0. You are welcome to find the three additional solutions where
c = 0, as well.)
This brainteaser was
written by Derrick Niederman.
