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. A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination.
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. A man has certain note of denomination 20 and 5 which amount to 380....
Problem: A man has certain notes of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination.
Solution:
Let's assume that the number of notes of denomination 20 is x and the number of notes of denomination 5 is y.
Given, x + y = Total number of notes ...(1)
Also, as per the problem, the total amount of money with the man is:
20x + 5y = 380 ...(2)
Now, let's interchange the notes of both denominations. The new total amount of money with the man will be:
5x + 20y = 380 - 60 = 320
Simplifying the above equation, we get:
x = (320 - 20y)/5 ...(3)
Substituting the value of x from equation (3) in equation (1), we get:
(320 - 20y)/5 + y = Total number of notes
Simplifying the above equation, we get:
y = 12
Substituting the value of y in equation (1), we get:
x = 18
Therefore, the man has 18 notes of denomination 20 and 12 notes of denomination 5.
Answer: The man has 18 notes of denomination 20 and 12 notes of denomination 5.
Solution:
Let's assume that the number of notes of denomination 20 is x and the number of notes of denomination 5 is y.
Given, x + y = Total number of notes ...(1)
Also, as per the problem, the total amount of money with the man is:
20x + 5y = 380 ...(2)
Now, let's interchange the notes of both denominations. The new total amount of money with the man will be:
5x + 20y = 380 - 60 = 320
Simplifying the above equation, we get:
x = (320 - 20y)/5 ...(3)
Substituting the value of x from equation (3) in equation (1), we get:
(320 - 20y)/5 + y = Total number of notes
Simplifying the above equation, we get:
y = 12
Substituting the value of y in equation (1), we get:
x = 18
Therefore, the man has 18 notes of denomination 20 and 12 notes of denomination 5.
Answer: The man has 18 notes of denomination 20 and 12 notes of denomination 5.
Community Answer
. A man has certain note of denomination 20 and 5 which amount to 380....
16 notes of rs 20 and 12 notes of rs 5
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. A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination.
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. A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about . A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination..
. A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about . A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . A man has certain note of denomination 20 and 5 which amount to 380. If the number of notes of each kind are interchanged, they amount to 60 less than before. Find the number of notes of each denomination..
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