The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is  Choose the correct choice from the following choices:
A) 19	B) 10	C) 28	D) 27	E) 29
Let the numbers be x and (100-x).   Then,   \inline \fn_jvn \Rightarrow \inline \fn_jvn x^{2}-100x+2475=0   \inline \fn_jvn \Rightarrow (x-55) (x-45) = 0   \inline \fn_jvn \Rightarrow x = 55 or x = 45   \inline \fn_jvn \therefore The numbers are 45 and 55   Required difference = (55-45)= 
<gadget id="calculator">(55-45)</gadget>
<output>10</output>
10   Answer:10
<result>B</result>
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is