1987 AHSME Problems/Problem 18
Problem
It takes 
algebra books (all the same thickness) and 
geometry books (all the same thickness,
which is greater than that of an algebra book) to completely fill a certain shelf.
Also, 
of the algebra books and 
of the geometry books would fill the same shelf.
Finally, 
of the algebra books alone would fill this shelf. Given that 
are distinct positive integers,
it follows that is
See also
| 1987 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 17 |
Followed by Problem 19 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
