11.The sum of the reciprocals of two numbers is I1.Three times the reciprocals of one of the numbers is 3 more thanthe reciprocal of the other. Find the numbers.12. The sum and difference of the reciprocals of the two numbers are 7 and 3 respectively. Find the numbers.13.Find the two consecutive even integers such that the square of the larger is 44 greater than the square of the smallerinteger.14. If 8 times a certain number is increased by 4, the results is 40 less than 10 times the number. Find the number.15. One number is 5 less than twice the smaller. The difference between the numbers is 19. Find the numbers.16.What are the possible remainders of prime numbers greater than 2 when it is divided by 5._17.What is the sum of the squares of the first four prime numbers?18. Find the average of all numbers from I to 100 that end in 8.19. Is the sum of any two prime numbers always a composite number?20. Is the sum of prime number and a composite number always even?21.The sum of digits of two-digit number is 12.The unit digits exceeds the tens digit by 4. Find the number._22. Five times a number increased by 8 is 93.What is 1/3 of the number?23.The sum of the digits of two -digit number is 14.The value of the number is 2 less than II times the tens ddigit. Whatis the number?24.The sum of two integers is 63. the smaller integers is |I more than one-third the larger integer. Find the integers.25.What number added to 3 times its reciprocal equals 6÷?

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Answered: 11.The sum of the reciprocals of two…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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11.The sum of the reciprocals of two numbers is I1.Three times the reciprocals of one of the numbers is 3 more than the reciprocal of the other. Find the numbers.