1
$\begingroup$

A four-digit number $\overline{abcd}$, and a five-digit number $\overline{efghi}$, where $a,b, c, ..., i$ are from 1-9 and are distinct. We have

$\overline{abcd}*3=\overline{efghi}$.

What are $a, b, ..., i$?

What I have tried: I can deduce that $\overline{efghi}$ must be divisible by 9, but then the enumeration does not give the answer? Can this hold at all?

$\endgroup$
1
$\begingroup$

By exhaustive search there are two solutions:

$$5823\cdot 3 = 17469$$ $$5832\cdot 3 = 17496$$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.