Olympiad workbookIOQMBasics of Mathematics
Let and be positive integers such that 16 37 < < 7 16 . Find the smallest possible value of .
Correct answer
23
Step-by-step solution
aligned & 16 37 > 16 7 & 37 16 > > 16 7 aligned aligned & 2 7 < -2 < 5 16 , -2 I and lie between ( 2 7 , 5 16 ) ( 32 112 , 35 112 ) & ( -2 ) (0.28 , 0.31 ) & If =10 (2.8,3.1) & -2 =3 & =23 aligned