Sonam's age after eight years will be half of her father's age. Eight years ago the ratio of their ages was 1 : 3. Find the present age of Sonam's father.
The angles of elevation of the top of a temple, from the foot and the top of a building 30 m high, are 60° and 30° respectively. Then height of the temple is
Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.