Puzzles
Four integers
Source: Teach Further Maths Blog
\(a\), \(b\), \(c\) and \(d\) are four positive (and non-zero) integers.
$$abcd+abc+bcd+cda+dab+ab+bc+cd+da+ac+bd\\+a+b+c+d=2009$$
What is the value of \(a+b+c+d\)?
If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXIV,
puzzles about algebra, or a random puzzle.
puzzles about algebra, or a random puzzle.