Problem #54 MEDIUM
The Cartographer's Code
Number Theory Math Deduction Scenario
Problem Statement
The Story:
In the archives of a famous map-making institute in Pune, a young researcher named Aditya stumbles across an old locked chest. Attached to it is a handwritten note from the institute's founder, written in 1923:
'Whoever finds this chest deserves what is inside. The combination is a 3-digit number. Here are your clues:'
'— The number is odd.'
'— All three digits are different.'
'— The number is divisible by the sum of its digits.'
'— The hundreds digit is larger than the tens digit, which is larger than the units digit.'
'— The units digit is not zero.'
Aditya sits down at his desk with a cup of coffee, a notepad, and a calm mind. He is confident he can work it out without a computer.
The Challenge:
What is the 3-digit combination on the chest?
Answer & Quick Explanation
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