Beautiful Liars

Louis gives one number of three digits \(\overline{abc}\), to their students. They had the following conversation:

\(\text{Alan}:27\) divides \(\overline{abc}\)

\(\text{Blas}:11\) divides \(\overline{abc}\)

\(\text{David}:a+b+c=15\)

\(\text{Jane}:\overline{abc}\) is a divisor of \(648,000\)

\(\text{Ronnie}:\overline{abc}\) is a perfect square

Only three of this students told the truth. Find \(\overline{abc}\).

×

Problem Loading...

Note Loading...

Set Loading...