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Question:-
A sum of ₹800 is in the form of 10-rupee notes and 20-rupee notes only. If the total number of notes is 50. Find the number of notes of each kind.
Solution:-
Let the number of 10 - rupee notes be x
And, the number of 20-rupee notes be y
Given, the total number of notes = 50
→ x + y = 50......(i)
● Sum of money = ₹800
→ 10x + 20y = 800
Dividing the whole equation by 10, we get
→ x + 2y = 80.....(ii)
Subtracting equation (i) from (ii)
→ x + 2y - (x + y) = 80 - 50
→ x + 2y - x - y = 30
→ x - x + 2y - y = 30
→ y = 30
Substituting y = 30 in equation (i)
→ x + y = 50
→ x + 30 = 50
→ x = 50 - 30 = 20
We have :-
- x = 20
- y = 30
Therefore:-
⇝ Number of 10 - rupee notes = 20
⇝ Number of 20 - rupee notes = 30
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