If the total of two integers is 55, and their H.C.F. and L.C.M. are 5 and 120, respectively, the sum of the reciprocals of the numbers equals:
A. 55/601
B. 601/55
C. 11/120
D. 120/11
Answer:C
If the total of two integers is 55, and their H.C.F. and L.C.M. are 5 and 120, respectively, the sum of the reciprocals of the numbers equals:
A. 55/601 B. 601/55 C. 11/120 D. 120/11
Explanation: Let's call the numbers a and b.Then ab = 5 x 120 = 600 and a + b = 55.1/a + 1/b = a + b/ab = 55/600 = 11/120 is the needed amount.