A sum of 800 is in the form of of denomination of rs 10 and rs 20. If the total no.of notes be 50 find the no.of notes of each type
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Answer:
x=20 and y=30
Step-by-step explanation:
Let the number of rs 10 notes be x and rs 20 notes be y.
==> The total amount of money is rs 800 comprising only rs 10 and rs 20 notes.
==> 10x+20y=800-----> (i)
==> The total number of notes is 50
==> x+y=50-----> (ii)
Dividing (i) by 10 on both sides:
==> x+2y=80-----> (iii)
Subtracting (ii) from (iii):
==> x+2y-x-y=80-50
==> y=30
Substituting in (ii),
==> x+30=50
==> x= 20
Therefore the number of rs 10 notes is 20 and rs 20 notes is 30.
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