Solver Sum of consecutive word problems solver

Source code of 'Sum of consecutive word problems solver'

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==section input
Sum of *[input count=2] consecutive numbers is equal to *[input sum=5]. Find the smaller number.

Good examples of inputs are  (2,5) or (3, 12).

==section solution
perl

print "As explained in the <A HREF=Consecutive-Number-Word-Problems.lesson>consecutive word problems lesson</A>, always use <CODE>x</CODE> for the number they ask you to find out. In this case, it is the smaller number. The \"next number\" after <CODE>x</CODE> is <CODE>x+1</CODE>, \n\n\n";

print "The $count consecutive numbers are: <CODE>x";
my $i;
for( $i = 1; $i < $count; $i++ ) {
  print ",x+$i";
}

print "</CODE>\n\n\n";

print "The equation is: <CODE>x";

for( $i = 1; $i < $count; $i++ ) {
  print " + x+$i";
}
print " = $sum</CODE>\n\n\n";

print "Rearranging: <CODE>x" . (" + x" x ($count-1));

for( $i = 1; $i < $count; $i++ ) {
  print " + $i";
}

print " = $sum</CODE>\n\n\n";

my $z = $count*($count-1)/2;
my $s = $sum - $z;
my $x = ($sum-$z)/$count;

print "Simplifying: <CODE>$count*x + $z = $sum</CODE>

Subtract $z from both sides:

<CODE>$count*x + $z - $z = $sum - $z</CODE>

<CODE>$count*x = $sum - $z</CODE>

{{{x = ($sum-$z)/$count}}}

{{{x = ($s)/$count}}}

x = $x

This is your answer! <B>The \"first consecutive number\" is equal to $x</B>.

Please see <A HREF=Consecutive-Number-Word-Problems.lesson>consecutive word problems lesson</A> to learn more.

$number = $x;

==section output
number

==section check
  number=2 count=2 sum=5