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1. Vani, her father and her grandfather have an average age of \(53\). One-half of her grandfather’s age plus one-third of her father’s age plus one-fourth of Vani’s age is \(65\). If \(4\) years ago, Vani’s grandfather was four times as old as Vani, then how old are they all now?
The age of Vani is years.
The age of Vani's father is years.
The age of Vani's grandfather is years.
2. The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is \(46\), more than \(5\) times the old number. If the hundreds digit plus twice the tens digit is equal to the units digit, find the original three-digit number?
Answer:
The \(3\) digit number is .
3. There are \(12\) pieces of five, ten and twenty rupee currencies whose total value is \(₹105\). But when the first \(2\) sorts are interchanged in their numbers, their value will be increased by \(₹20\). Find the number of currencies in each sort.
Answer:
The number of \(₹5\) currencies is .
The number of \(₹10\) currencies is .
The number of \(₹20\) currencies is .
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