Art of Problem Solving

AoPS Online

1989 AHSME Problems/Problem 13

Revision as of 04:52, 19 February 2012 by Ckorr2003 (talk | contribs) (Created page with "Let <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> be integers with <math>a<2b</math>, <math>b<3c</math>, and <math>c<4d</math>. If <math>d<100</math>, the la...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Let $a$ , $b$ , $c$ , and $d$ be integers with $a<2b$ , $b<3c$ , and $c<4d$ . If $d<100$ , the largest possible value for $a$ is

$\mathrm{(A) \ 2367 } \qquad \mathrm{(B) \ 2375 } \qquad \mathrm{(C) \ 2391 } \qquad \mathrm{(D) \ 2399 } \qquad \mathrm{(E) \ 2400 }$

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1989_AHSME_Problems/Problem_13&oldid=44864"

© 2025 AoPS Incorporated