Question 1190704
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The literal translation is

    {{{(3/5)n}}} + {{{(1/4)(n+1)}}} = 13.



When translate in this way, you must check if it makes sense:

you should check that such integer number n does really exist.



For it, solve equation

    {{{(3/5)n}}} + {{{(1/4)(n+1)}}} = 13.


Multiply both sides by 4*5 = 20

    12n + 5(n+1) = 13*20

    12n + 5n = 260 - 5

       17n   =    255

         n   =     255/17 = 15.


You get this integer number n= 15, and it confirms that the translation does make sense.
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Solved.