Question

if the cost of 37 pens and 53 pencils together is rupee 320,then 53 pencils together cost rupee 400.the cost of two pens is​

Answer 1

Let cost of a pen  = x

Cost of a pencil = y

According to ques..

Case 1 :

37x + 53y = 320  ....(1)

Case 2 :  

53x + 37y = 400 ...(2)

 

Add(1) and (2), we get

90x + 90 y = 720

=> x + y = 8 .... (3)

Subtract (1) from (2). We get

16x - 16y = 80

=> x - y = 5 ....(4)

Add (3) and  (4)

2x = 13

x = 6.5

So y = 1.5  

Cost of pen = Rs. 6.5

Cost of pencil = Rs 1.5