Question 1156495
<br>
If the two numbers are in the ratio 3:1, then their reciprocals are in the ratio 1:3.<br>
So divide the given sum of the reciprocals, 16/3, into two parts in the ratio 1:3.  Those two parts are 4/3 and 12/3=4.<br>
Since the reciprocals are 4/3 and 4, the two numbers are 3/4 and 1/4.<br>