[ Decimal numeral system ]

Can two numbers be formed from the digits 2, 3, 4, 9 (each digit can be used any number of times) such that one number is 19 times greater than the other?

#
Track the last digit.

## Solution

The sum of these numbers must be divisible by 20, which means the sum of their last digits equals 10. However, no two of the given digits add up to 10.

## Answer

It is not possible.