The sum of the reciprocals of the ages of two colleagues is five times the difference of the reciprocals of their ages. If the ratio of the products of their ages to the sum of their ages is 14.4 : 1, find the age (in years) of both colleagues.

1
24 years and 36 years
2
21 years and 23 years
3
19 years and 21 years
4
17 years and 21 years

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