Question

anum counted the amount of money she had in her purse and the money box whe she double the amount in her purse and add to it amount in the money box she Rs 1700 when she triple the amount in her purse and adds if to the amount in tbe money box she get Rs 2200 how much money does she have in the money box?
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Answer 1

Answer:

 The amount in the box is 700 rs

Step-by-step explanation:

• Given Anum counted the amount of money that she had in her purse  and in the money box let assume that the amount in purse is $x$ ,the amount in box is $y$

• when she doubled the amount in her purse and added it to the box amount, it is equals to 1700  

    the amount in purse is $x$ when it is doubled, it is  2$x$ now add it to the amount in box which is $y$ then  ⇒     2$x$ +$y$ =1700 _  equation 1

• when is she triple the amount in purse and added the amount in the box  then it is equls to 2200  ⇒     3$x$ + $y$ = 2200 _ equation 2  

         equation 1 - equation 2 ⇒  $2x+y-(3x+ y) = 1700 -2200$

                                                    $2x +y-3x -y = - 500$

                                                  $-x = -500$

                                                    x = 500

    the money in purse  $x= 500$ substitute it in equqtion 1

                                        $2x+y =1700$

                                     $2(500) + y= 1700\\ 1000+ y =1700\\ y = 1700-1000\\ y= 700$

               the amount in the box is 700 rs