If the sum of two numbers is 45 and the H.C.F and the sum of the reciprocals of the numbers are 3 and 103/100 respectively, then the LCM of the numbers is equal to: Choose the correct choice from the following options:
A) 460  B) 300  C) 245  D) 100  E) 200
Let the numbers be a and b and LCM be x,   Then, a + b = 45 and ab = 3 * x = 3x   Required sum = 1/a + 1/b = (a + b)/ab = 103/300   103/300=45/3x   x=100   ANSWER:100
<result>D</result>
If the sum of two numbers is 45 and the H.C.F and the sum of the reciprocals of the numbers are 3 and 103/100 respectively, then the LCM of the numbers is equal to: