Getting Smarter Every Day: Book C Page 19 #5

Question

Hundreds digit = Units digit * 2 Units digit = 1/4 of Tens digit. Product of digits contains one of the digits. My hundreds digit is twice my units digit. My units digit is one-fourth my tens digit. The product of my digits contains one of my digits. Who Am I?

Answer 1

The number can be represented by HTU=100H+10T+U (hundreds, tens, units or ones).

U=T/4, H=2U=T/2. The number is 100T/2+10T+T/4.

T/4 must be a whole positive number so it can only be 4 or 8.

If it's 4 the number is 241; if it's 8 the number is 482.

Products are 8 and 64, so since 64 contains 4, you must be the number 482.