Question 1156495
.
<pre>

One number is x, the other number is 3x.


The equation is

    {{{1/x}}} + {{{1/(3x)}}} = {{{16/3}}}.


Multiply both sides by 3x. You will get then


    3 + 1 = 16x

    4 = 16x

    x = {{{4/16}}} = {{{1/4}}}.


<U>ANSWER</U>.  The numbers are {{{1/4}}}  and {{{3/4}}}.


<U>CHECK</U>.   The reciprocal numbers are 4 and {{{4/3}}}, and their sum is  4 + {{{4/3}}} = {{{(12+4)/3}}} = {{{16/3}}}.  ! Precisely correct. !
</pre>

Solved.


---------------


Ignore the post by &nbsp;@josgaritnmetic, &nbsp;since it is &nbsp;&nbsp;T O T A L L Y   &nbsp;&nbsp;W R O N G.