My uncle changed a 1000 rupee cheque from a bank in the form of 5 rupee and 10 rupee notes. If he received 137 notes in total then find the number of 5 rupee notes that he got.
Let the number of 5 rupee notes got by uncle be x.
As it is given he gets total of 137 notes, so number of 10 rupee notes he get will be
137-x
It is given adding these notes the total amount should be 1000.
Hence the equation becomes,
5(x)+10(137-x)=1000
⇒ 5x+1370-10x=1000
⇒ 1370-5x=1000
⇒ 1370-1000=5x
⇒ 5x=370
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So uncle got 74,5-rupee notes,
And 137-x=137-74=63,10-rupee notes.
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