Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289/290 289 1/289 290/289 289/290 289 1/289 290/289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 72 48 54 84 72 48 54 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is: 10 16 15 12 10 16 15 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 114 104 315 325 114 104 315 325 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 15, 20 30, 25 21, 26 20, 25 15, 20 30, 25 21, 26 20, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
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