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Question
I have Rs 1000 in ten and five rupee notes. If the number of ten rupee notes that I have is ten more than the number of five rupee notes, how many notes do I have in each denomination?
Solution
Let the number of five - rupee notes be x .
Therefore, the number of ten - rupee notes will be (x + 10) .
Now,
Value of five - rupee notes = Rs . 5x
Value of ten - rupee notes = Rs . 10(x + 10)
According to the question,
5x + 10(x + 10) = 1000
or 15x = 1000 - 100
or \[x = \frac{900}{15} = 60\]
∴ Number of five - rupee notes = 60 .
Number of ten - rupee notes = 60 + 10 = 70 .
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