21 pens and 29 pencil cost 79 but if number of pen and pencil are exchanged and the cost would have reduced by 8 find the cost of each pen
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Let x be the cost of each pencil and y be the cost of each pen,
Since, 21 pencils and 29 pens cost rs 79
⇒ 21x+29y = 79 -----(1)
Also, 29 pencils and 21 pens cost rs 71
⇒ 29x + 21y = 71 -----(2),
29 × equation (1) - 21 × equation (2),
841y - 441y = 2291 - 1491841y−441y=2291−1491
400y = 800400y=800
\implies y = 2⟹y=2
Hence, the cost of each pen is 2 rupees.
hope it helps...........
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thankyou for the answer
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