Question 396055
Suppose that the numbers are x and 11-x. Then,


{{{1/x + 1/(11-x) = 11/30}}} Taking LCD of the fractions, adding, and simplifying,


{{{11/(x)(11-x) = 11/30}}}


{{{x(11-x) = 30}}}


x = 6 or x = 5 (these two are equivalent) so 5 and 6 are the numbers.