n=m/M n= 80 g/40.078 g/mol n=1.996mol
Let the number be 'm' & 'n' Hence Product ; mn = 80 Sum ; m + n = 21 m = 21 - n Substitute (21 - n) n = 80 21n - n^2 = 80 n^2 - 21 n + 80 = 0 It is now in quadratic form to factor. ( n - 16)(n - 5) = 0 Hence the numbers are 5 & 16
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n * 4 = 80 Divide both sides by 4: n = 20
M A N = Maschinenfabrik Augsburg Nürnberg. ( Wikipedia ).
mn = 80 m -n = -79 Substitute m - 80/m = -79 m^2 - 80 = -79m m^2 + 79m = 80 (NB Notice change of signs) Quadratic Eq'n m = { - 79 +/- sqrt[)79)^2 - 4(1)(-80)}] / 2(1) m = { - 79 +/- sqrt[6241 + 320}]/ 2 m = { -79 +/- sqrt[6561]} / 2 m = { - 79 +/- 81}/2 m = -160 / 2 = -80 or m = 2/2 = 1 Hence n = 1 + 79 = 80
National Roads and Motorists' Association
Agatha Christie's novel "N or M" takes its title from part of the catechism in the Book of Common Prayer, - "What is your Christian name? Answer N. or M."
National Roads and Motorists' Association
CommandJust remove the o, one m, the a, and the n!C--M--D
Try using a calculator! 20 x 4 = 80. It could not be simpler!
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