A sum of 500 RS is in the form of denominations of 5 RS and 10 RS. If the total number of
notes is 90 find the number of notes of each denomination.
(Hint: let the number of 5 rupee notes be 'x', then number of 10 rupee notes=90-x)
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Answer:
80- 5rupee, 10 -10rupee
Step-by-step explanation:
Let the number of 5 rupee notes as x
Let the number of 10 rupee note be y
so, x + y = 90.......Eq.1
and 5x + 10y = 500.........Eq.2
Multiply Eq.1 with 5
5x+5y=450....Eq.1¹
Subract Eq.1¹ from Eq.2
5x+10y=500
5x+5y=450 (-)
'''''''''''''''''''''''"
5y=50
y=10
Sub y=10 in Eq.1
x+10=90
x=80
Therefore The number of 5rs is 80 and 10rs is 10
Chk
5(x)+10(y)=500
5(80)+10(10)=500
400+100=500
500=500
LHS=RHS
Hence Proved
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