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CBSE Class 9 Answered

In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.
Asked by atharvnikam123 | 15 May, 2019, 12:37: PM
answered-by-expert Expert Answer
 
Let the number of 5 rupee notes be x and 10 rupee notes be y.
 
Total amount of these notes is 350 rupees.
 
→ 5x + 10y = 350    .... (i)
 
Number of 5 rupee notes are less by 10 than twice number of 10 rupee notes.
 
→  x = 2y - 10

→  x - 2y = -10     .... (ii)
 
Multiply (ii) by 5, we get
 
  5x - 10y = -50     .... (iii)
 
Adding (i) and (iii), we get
 
10x = 300
 x = 30
 
Put x = 30 in (ii), we get
 
y = 20
Therefore the number of 5 rupee notes are 30 and 10 rupee notes be 20.
Answered by Yasmeen Khan | 15 May, 2019, 12:59: PM
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