A censusman on duty visited a house
which the lady inmates declined to
reveal their individual ages, but said −
“we do not mind giving you the sum of
the ages of any two ladies you may
choose”. Thereupon the censusman
said − “In that case please give me the
sum of the ages of every possible pair of
you”. The gave the sums as follows :
30, 33, 41, 58, 66, 69. The censusman
took these figures and happily went
away. How did he calculate the individual
ages of the ladies from these figures?
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