Question 1055619
The difficulty is in understanding what the wording of the problem means.
Since it is a multiple choice question, once you understand what it means,
all you need to know is basic arithmetic, and trial and error.
 
ARITHMETIC:
Trying to see if {{{24}}} is the answer:
One-fourth of 24 is {{{6}}} (24 divided by 4).
The number succeeding it (the number after 24) is 25.
One-fifth of 25 is {{{5}}} (25 divided by 5).
Is {{{6}}} greater than {{{5}}} by 1?
Let's see,
{{{6-5=1}}} ,
so {{{6}}} is indeed greater than {{{5}}} by one,
and {{{highlight(24)}}} is a possible solution to the problem.
It must be THE one and only solution,
because we had to choose one of the four choices given.
We do not need to try the other choices.


THE ALGEBRA WAY:
{{{n}}}= the number
{{{n+1}}}= the number succeeding it
{{{n/4}}}= one-fourth of the number
The wording means that {{{n/4}}} is {{{1}}} more than
{{{(n+1)/5}}} .
The equation is
{{{n/4=(n+1)/5+1}}}
To get rid of denominators,
we could multiply both sides of the equal sign times 4 and times 5,
or we could just multiply both sides time {{{4*5=20}}} in a single step.
{{{20*(n/4)=20*((n+1)/5+1)}}}
{{{20n/4=20(n+1)/5+20}}}
{{{5n=4(n+1)+20}}}
{{{5n=4n+4+20}}}
{{{5n=4n+24}}}
{{{5n-4n=24}}}
{{{highlight(n=24)}}}