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
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median is 79. Write in order; median is middle number: {72, 89, 67, 81, 75, 79, 81, 80, 62, 64, 83} → {62, 64, 67, 72, 75, 79, 80, 81, 81, 83, 89} To find middle number, count the number of data items, add 1 and divide by 2. If this is a whole number, that is the data item which is the median; if it is a fraction, take the mean average of the data items of the positions either side of the fraction (eg if the fraction is 3.5, take the mean average of the 3rd and 4th data items) There are 11 data items → median is (11+1)/2 = 6th data item → median is 79
Subtract the known figure from the known answer to get the missing figure. 110-80=30.