The harmonic mean H of two numbers is 4 and the arithmetic mean A and geometric mean G satisfy the
equation 2A + G^2 = 27. The two numbers are
(a) 6, 3 (b) 9, 5 (c) 12, 7 (d) 3, 1
Pure mathematics is the world's best game. It is more absorbing than chess, more of a gamble than poker, and lasts longer than Monopoly. It's free. It can be played anywhere - Archimedes did it in a bathtub.
Richard J. Trudeau, Dots and Lines
"The study of mathematics, like the Nile, begins in minuteness but ends in magnificence"