Basically while solving mathematics problems, some typo errors can exhaust your patience.
One should look for such possibility to save efforts and time.
Example: Mathematics Part I (Algebra) by Maharashtra State Board
Practice set 1.5 Problem 7 Question 3.
The question deals with a problem in dealing notes of different denominations.
The given problem statement:
Suppose that Anushka had x notes of Rs 10 and Y notes of Rs 50 each...
the equations
10 x + 50 y = 2500
The number of notes interchanged.
50x + 10 y = 2000
If you try with details you will get fractional answers;
But have a look at the answer.
It mentions Rs 100.
There is a typo error.
The correct equations are
100x + 50 y = 2500
50 x + 100 y = 2000