pranathi has Rs 180 in the denomination of Rs 10 and Rd 20. The number Rs 10 notes is three more than that of Rs 20 notes. Find the number of notes of each denomination.
Answers
Answered by
38
According to the question :
Let 10 rupees notes be x
And 20 Rupees notes be y
x = y + 3
10x + 20y = 180
10 ( x + 2y ) = 180
x + 2y = 18
y + 3 + 2y = 18
3y + 3 = 18
3y = 18 - 3
3y = 15
y = 15 / 3
y = 5
x = 3 + y
x = 5 + 3
x = 8
So there are 8 notes of 10 rupees and 5 notes of 20 rupees.
Hope it helps you.
Have a good day.
Let 10 rupees notes be x
And 20 Rupees notes be y
x = y + 3
10x + 20y = 180
10 ( x + 2y ) = 180
x + 2y = 18
y + 3 + 2y = 18
3y + 3 = 18
3y = 18 - 3
3y = 15
y = 15 / 3
y = 5
x = 3 + y
x = 5 + 3
x = 8
So there are 8 notes of 10 rupees and 5 notes of 20 rupees.
Hope it helps you.
Have a good day.
Answered by
9
Answer:
Number of Rs. 10 notes = 8 and Number of Rs. 20 notes = 5
Step-by-step explanation:
Let number of Rs. 10 notes = x and number of Rs. 20 notes = y
Given that number of Rs. 10 is 3 more than that of Rs. 20
⇒ x = y + 3
Also, Total money in the denomination of Rs. 10 and Rs. 20 is 180
⇒ 10x + 20y = 180
Putting x = y + 3 in above equation
⇒ 10(y + 3) + 20y = 180
⇒ 30y + 30 = 180
⇒ 30y = 150
⇒ y = 5
So, x = 8
Therefore, Number of Rs. 10 notes = 8 and Number of Rs. 20 notes = 5
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