If The Sum Of Two Numbers Is 55 And The H.c.f. And L.c.m. Of These Nu

1.	If The Sum Of Two Numbers Is 55 And The H.c.f. And L.c.m. Of These Numbers Are 5 And 120 Respectively, Then The Sum Of The Reciprocals Of The Numbers Is Equal To ?
Answer» Let the NUMBERS be a and b. We KNOW that product of TWO numbers = Product of their HCF and LCM Then, a + b = 55 and ab = 5 x 120 = 600. => The required sum = (1/a) + (1/b) = (a+b)/ab =55/600 = 11/120. Let the numbers be a and b. We know that product of two numbers = Product of their HCF and LCM Then, a + b = 55 and ab = 5 x 120 = 600. => The required sum = (1/a) + (1/b) = (a+b)/ab =55/600 = 11/120.

If The Sum Of Two Numbers Is 55 And The H.c.f. And L.c.m. Of These Numbers Are 5 And 120 Respectively, Then The Sum Of The Reciprocals Of The Numbers Is Equal To ?

Answer»

Let the NUMBERS be a and b.

We KNOW that product of TWO numbers = Product of their HCF and LCM

Then, a + b = 55 and ab = 5 x 120 = 600.

=> The required sum = (1/a) + (1/b) = (a+b)/ab

=55/600 = 11/120.

Let the numbers be a and b.

We know that product of two numbers = Product of their HCF and LCM

Then, a + b = 55 and ab = 5 x 120 = 600.

=> The required sum = (1/a) + (1/b) = (a+b)/ab

=55/600 = 11/120.