Ram has ₹1000 in the denomination of ₹10, ₹20 and ₹5 notes. If the number of ₹10 notes is 16 more than that of ₹20 notes and the number of ₹5 notes is twice the number of ₹20 notes, find the total number of notes that Ram has.
100
Let the number of ₹20 notes be \(x\).
Then the number of ₹10 notes \(= x + 16\), and the number of ₹5 notes \(= 2x\).
Total value: \(20x + 10(x + 16) + 5(2x) = 1000\).
Expanding: \(20x + 10x + 160 + 10x = 1000\).
\(40x = 840\), so \(x = 21\).
Number of ₹20 notes = 21, ₹10 notes = 37, ₹5 notes = 42.
Total number of notes \(= 21 + 37 + 42 = 100\).
Hence, Ram has a total of 100 notes.
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Important Questions from Linear Equation in 2 or more Variables
Six years ago, the ratio of ages of A to B was 7 ∶ 5. After 4 years from now, the ratio of their ages will be 11 ∶ 9. What is A’s age at present?
7p - [3q - {8p - (4q - 10p)}] = ?
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A. 45
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C. 18
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