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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Surya is 25 years older than his son. In 5 years, he will be twice as old as his son. What will be Surya’s age after 3 years?
The difference between the ages of two sisters is 2 years when father’s age is 52. Father is elder by 2 years to mother. Elder sister’s age is half of mother’s age. Find the age of younger sister?
The sum of the digits of a 2 digit number is 9, When 27 is added to the number, the digits get interchanged. Find the number.
A. 45
B. 36
C. 18
D. 27If a + 2b = 55 and a – 2b = - 13, find the value of b.
A. 21
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If 4x + 5y = 14 and x – 5y = 16 then the value of x and y are
A. 10 and –6/5
B. 6 and 2
C. 10 and 6/5
D. 6 and – 2
