please explain by taking some example closed

Question

Let a, b be two positive integers, which of the following options correctly relates / and %?

(a) b= (a/b) * b + a%b                                                (b) b= (a%b) * b + a/b

(c) a= (a/b) * b + a%b                                                (d) a= (a%b) * b + a/b

Comments

In this example, $\%$ means modulus operator?

what is your doubt?

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(c) is the correct answer.

Answer 1

Let's take $a=20$ and $b=10$

$(a)$  $b= (\frac{a}{b})\times b + a\%b$

            $b= (\frac{20}{10})\times 10 + 20\%10$  
   
              $b= (2)\times 10 + 0$

                 $b=20$

   $(b)$  $b= (a\%b)\times b + \frac{a}{b}$

               $b= (20\%10)\times 10 + \frac{20}{10}$

              $b= (0)\times 10 + 2$

                $b=2$

   $(c)$  $a= (\frac{a}{b})\times b + a\%b$

                 $a= (\frac{20}{10})\times 10 + 20\%10$

                    $a=(2)\times 10+0$

                 $a=20$           

$(d)$  $a= (a\%b)\times b + \frac{a}{b}$

             $a= (20\%10)\times 10 + \frac{20}{10}$

              $a=(0)\times 10 +2$
 
               $a=2$