2006 Alabama ARML TST Problems/Problem 6
Problem
Let be the greatest integer less than or equal to and let . Find given that
Solution
Let's add all three equations:
And thus . View https://artofproblemsolving.com/texer/boixabdc , for a complete solution. We finally get x=6.5, y=7.6, z=8.7 . I'll solve a more general problem, see my blog https://artofproblemsolving.com/community/c573365.
See also
2006 Alabama ARML TST (Problems) | ||
Preceded by: Problem 5 |
Followed by: Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |