Question 1100326
.
<pre>

     x        a         z                b                  y
-----|------------------|-----------------------------------|-----

     {{{2/5}}}                                                     {{{11/5}}}

In this picture I showed the number line by (-------),  the points x = {{{2/5}}}  and  y = {{{11/5}}}  and  the point z,  whose position is under the question.


I also denoted by "a" the distance from x to z  and by "b" the distance from z to y.

We are given that  {{{a/b}}} = {{{2/3}}},  and the problem asks to find  b.


We have these two equations 

a + b = {{{11/5}}} - {{{2/5}}} = {{{9/5}}},      (1)      and

{{{a/b}}} = {{{2/3}}}.                    (2)

From (2),  a = {{{(2/3)*b}}}.   Substitute it into (1).  You will get

{{{(2/3)*b}}} + b = {{{9/5}}},  which is equivalent to

{{{(5/3)*b}}} = {{{9/5}}}.

It implies  b = {{{(9/5)*(3/5)}}} = {{{27/25}}}.
</pre>

<U>Answer</U>. &nbsp;The distance from  z to  y  is  &nbsp;&nbsp;{{{27/25}}}.


===============
In his solution, @josgarithmetic  outputted the value of the coordinate of the point z,  although the problem asked for the distance from z to y.


It is the source of the difference between his answer and the answers by the tutor @greenestamps  and mine.