Question 4
Can an integer be represented as either of the following sums?
(a) $\dfrac1{a_1}+\dfrac1{a_2}+\cdots+\dfrac1{a_6}$.
(b) $\dfrac1{a_1}+\dfrac1{a_2}+\cdots+\dfrac1{a_9}$.
Here $a_1,a_2,\ldots,a_9$ are distinct positive integers.
(a) $\dfrac1{a_1}+\dfrac1{a_2}+\cdots+\dfrac1{a_6}$.
(b) $\dfrac1{a_1}+\dfrac1{a_2}+\cdots+\dfrac1{a_9}$.
Here $a_1,a_2,\ldots,a_9$ are distinct positive integers.