A password must consist of three distinct digits from 1 to 9. The first digit is greater than the second digit. The second digit is greater than the third digit. The sum of all three digits is 15. What is the password?
6, 4, 2
We need three distinct digits in descending order ($a > b > c$) that sum to 12. The possible sets of three distinct digits summing to 12 in descending order are: 9, 2, 1; 8, 3, 1; 7, 4, 1; 6, 5, 1; and 6, 4, 2. Testing strictly descending single digits where $6 > 4 > 2$ gives $6 + 4 + 2 = 12$.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Medium. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
More logic riddles
A father's age is currently three times his daughter's age. In 12 years, the father will be exactly twice as old as his daughter. How old is the daughter right now?
Five people—Amy, Brad, Carl, Dana, and Evan—participate in a spelling bee. Amy beats Brad. Carl beats Dana. Brad beats Carl. Evan finishes immediately ahead of Amy. Who wins last place (5th place)?
Four runners—Sam, Leo, Maya, and Nina—finish a race. Nina finished before Sam. Sam finished before Leo. Maya finished immediately after Leo. What was the exact finishing order from 1st to 4th place?
Three boxes are labeled 'Gold', 'Silver', and 'Bronze'. None of the labels match the actual metal inside that box. The box labeled 'Gold' does not contain Bronze. What metal is inside the box labeled 'Gold'?
Two people share me on a plate with two forks and candlelight. What am I?
A clock chimes 5 times in 4 seconds. Assuming the chimes take zero duration and are spaced evenly apart, how many seconds will it take for the same clock to chime 10 times?