# Difficult Algebra Solved QuestionAptitude Discussion

 Q. Firoz has a certain amount of money in only Re 1 and Rs 10 notes. The number of Re 1 notes multiplied by the number of Rs 10 notes is equal to the total money (in Rs) that he has. The number of Rs 10 notes is less than ten. Which of the following is a possible figure for the total number of notes he can have?
 ✔ A. 18 ✖ B. 14 ✖ C. 16 ✖ D. 20

Solution:
Option(A) is correct

Let Firoz have $n$ Rs10 notes and $m$ Re 1 notes.

Given $10n+m=nm$

$\Rightarrow m=\dfrac{10n}{n-1}$

Since, $n<10$ the possible values of $n$ for which $m$ is an integer are 2,3 and 6

Corresponding $m=20,15$ and $12$

$n+m$ is either 22 or 18