61. The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $$\frac{2}{3}$$. The fraction is :
62. In a Mathematics examination the number scored by 5 candidates are 5 successive odd integers. If their total marks are 185, the highest score is :
63. Three numbers are in in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :
64. The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are :
65. In a two-digit number, if it is known that its unit's digits exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :
66. The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by $$1\frac{1}{4}$$. Find the value of the fraction.
67. A number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
68. The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit's place is 3 more than the digit in the ten's place, then the number is ?
69. The difference between two positive integers is 3. If the sum of their squares is 369, then the sum of the numbers is :
70. A number consists of two digits. If the digits interchange place and the new number is added to the original number, then the resulting number will be divisible by :
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