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2 Marks:2 5 pencils and 7 pens together cost ro. 50 whereas 7 pencils and 5 pens togethor coat Ro lFind the cost of one pencil and that of one pen ( Any mothod)

Answer»

Let cost of one pencil be xLet cost of one pen be y

Then,5x + 7y = 50x = (50 - 7y)/5.......(1)

7x + 5y = 46......(2)

Put value of x from eq(1) in eq(2), we get 7*(50-7y)/5 + 5y = 46350 - 49y + 25y = 230-24y = - 120y = 120/24 = 5

x = (50 - 7*5)/5 = 15/5 = 3

Therefore, cost of pencil is Rs 3 and cost of pen is Rs 5



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