51. The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals ?
52. A two-digit number is 7 times the sum of its two digits. The number that is formed by reversing its digits is 18 less than the original number. What is the number ?
53. If the difference between the reciprocal of a positive proper fraction and the fraction itself be $$\frac{9}{20}$$, then the fraction is :
54. The sum of two numbers is 75 and their difference is 25. The product of the two numbers is :
55. Three-forth of a number is 60 more than its one-third. The number is :
56. The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is :
57. A number whose fifth part increase by 4 is equal to its fourth part diminished by 10, is :
58. If $$2\frac{1}{2}$$ is added tp a number and the sum multiplied by $$4\frac{1}{2}$$ and 3 is added to the product and the sum is divided by $$1\frac{1}{5}$$, the quotient becomes 25. What is the number ?
59. The product of two numbers is 120 and the sum of their square is 289. The sum of the numbers is :
60. If the digit in the unit's place of a two-digit number is halved and the digit in the ten's place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true ?
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