Answer:
11 and 13
Step-by-step explanation:
Suppose the smaller one is x. Then the difference of their reciprocals is ...
[tex]\dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{(x+2)-(x)}{x(x+2)}=\dfrac{2}{x(x+2)}[/tex]
This tells us that x will be the smaller of the two factors of 143:
143 = 11×13
x = 11
The two numbers are 11 and 13.
