SOLUTION: An army battalion was marching in such a way that the number of rows was 5 more than the number of columns. If the battalion was rearranged with an additional 845 columns, only fiv

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Question 1037118: An army battalion was marching in such a way that the number of rows was 5 more than the number of columns. If the battalion was rearranged with an additional 845 columns, only five rows would exist. Find the number of men in the battalion.
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
columns=x
rows=x+5
number of soldiers=x(x+5)
(x+845)5=number of soldiers,
Therefore, x^2+5x=5x+4225
x^2=4225
x=65 columns
70 rows, 4550 soldiers altogether.
Add 845 columns, so there are now 910 columns.
5 rows give 4550 soldiers.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
An army battalion was marching in such a way that the number of rows was 5 more than the number of columns.
If the battalion was rearranged with an additional 845 columns, only five rows would exist. Find the number of men in the battalion.
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c*(c+5) = (c+845)*5.

c%5E2 = 845%2A5

c = 65.

Answer.  65*70 = 4550.