Each of A, B, C and D is a positive integer, with A > B, such that: A+B = C  11*D.
Determine (with proof) the quadruplet (A, B, C, D) that generates the minimum value of A+B+C+D. What quadruplet generates the next smallest value of A+B+C+D?
A>B, let A=2, B=1, they can't be smaller. Let D=1; again, it can't be smaller.
Then 3=C11 and C=14; 14+2+1+1=18.
If we increase B, B=A, so increase A: A=3, B=1, the next smallest values. Let D=1; it can't be smaller. 4=C11 and C=15; 15+3+1+1=20
So these are the smallest solutions.

Posted by broll
on 20110407 02:38:25 