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59 pens and 47 pencils together cost Rs.513, while 47 pens and 59 pencils together cost Rs.441. Find the cost of a pen and that of a pencil.

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by dweejareddy

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by dweejareddy

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then,

59x+47y=513_______1 and 47x+59y=441_________2

59x+47y=513

47x+59y=441

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x=7.5 y=1.5

59m + 47n = 513 ---------------(1)

47m + 59n = 441 ---------------(2)

Subtracting (2) from (1),

12m - 12n = 72 ==> m - n = 6 -------(3)

Putting m = n + 6 from (3) in (1),

59(n + 6) + 47n = 513 ==> n = 159/106 = 3/2 = Rs. 1.5

Hence cost of a pencil = Rs.1.5 and cost of a pen = Rs.(1.5 + 6) = Rs.7.5