I am a three-digit number. My hundreds digit is three times my units digit, my tens digit is the sum of my hundreds and units digits, and the sum of all three of my digits is 16. What number am I?
682
Let the units digit be u. The hundreds digit is 3u, and the tens digit is 3u + u = 4u. The total sum of digits is 3u + 4u + u = 8u. Setting 8u = 16 yields u = 2. Thus, the digits are hundreds = 6, tens = 8, and units = 2.
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Medium. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
More math riddles
Lily puts 6 seeds in each of 6 boxes. How many seeds is that altogether?
I am a number between 1 and 100. If you divide me by 3, the remainder is 2. If you divide me by 4, the remainder is 3. If you divide me by 5, the remainder is 4. What number am I?
In a secret computer code built entirely of light switches that can only be turned on (1) or off (0), what standard decimal number is represented by the four-switch pattern 1011?
A mother is currently three times as old as her daughter. In twelve years, the mother will be exactly twice as old as her daughter. How old is the daughter right now?
Two mothers and two daughters went shopping and each spent exactly $20, yet they spent only $60 in total. How is this possible?
One pencil costs 5 dollars. How many dollars do 7 pencils cost?

