The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be
let the 2 numbers be x and y
sum of 2 numbers , x + y = 12
product of 2 numbers, xy = 35
reciprocal of x and y are $$ \frac{1}{x} and \frac{1}{y} $$ respectively
sum of their reciprocals = $$ \frac{1}{x} + \frac{1}{y} $$
                  = $$ \frac{x + y}{xy} $$
                  = $$\frac{12}{35} $$
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