Today Puzzle #685
Puzzle No. 685鈥� Thursday 27 February
Find a two-digit number which is 6 times as large as the sum of its digits.
Today’s #PuzzleForToday has been set by Dr Nicos Georgiou, a senior mathematics lecturer from the University of Sussex.
Click here for the answer
Denote the digits by x and y. Then the number is 10x + y and the sum of the digits is x + y. Then the equation we have is
6(x + y) = 10 x + y
That after re-arrangement the equation becomes 5y = 4x. Now, x can be 1, 2, …, 9, and y = 0, 1, 2, …, 9. The only possible solutions is y = 4 and x = 5, and the number is 54.
-
![]()
Puzzle for Today 鈥� Index
Find all of the currently available Puzzles for Today, with answers.
More fiendish brain-teasers and quizzes on 麻豆官网首页入口 Radio...
-
![]()
From autumn leaves to the magic roundabout: test yourself with our favourite quizzes.
-
![]()
We asked the intelligence agency to set our listeners a code-cracking challenge... Can you solve it?
-
![]()
Quiz: How many of these Mastermind music questions can you answer?
Here's a chance to find out whether your specialist subject on Mastermind could be the entire history of music.
-
![]()
Six conundrums to grapple with, including the Riddle of the Sphinx. Try not to forfeit your life...
