I am a 3-digit number greater than 500. My tens digit is double my ones digit and half my hundreds digit

Question

What am l. Explain your reasoning

Answer 1

Let the number be HTW for hundreds, tens and ones, T=2W=H/2

HTW>500 HTW=4W2W1W W can be 1 or 2, but not >2

possibilities are 421, or 842. only 842>500.

Answer is 842