A total of 74 currency notes, consisting of rupees 20 and rupees 10 denominations, amounts to rupees 1200. Find the number of notes in each denomination.
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Answer:
Step-by-step explanation:
Let the 20rs. notes be x and 10rs. notes be y
Equation 1 -
The 20rs. and 10rs. notes sums up to 74 currency notes.
= x + y = 74
Equation 2 -
The amount of 20rs. and 10rs. becomes 1200rs.
= 20x + 10y = 1200
= 2x + y = 120
Subtract equation 1 from 2
2x + y = 120
- x - y = - 74 (Change of signs due minus sign)
___________
= x + 0 = 46
therefore, x = 46
Substitute x = 46 in equation 1
x + y = 74
46 + y = 74
y = 74 - 46
y = 28
Therefore, (x, y) = (46, 28)
Therefore, there are 46 notes of rs.20 and 28 notes of rs.10
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