Question

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 reciprocal of the numbers is equal to:

• A. $0.055$
• B. $0.026$
• C. $0.0232$
• D. $0.091$

Answer 1

The correct option is D $0.091$

Let the numbers be x and y

$x+y=55$

$HCF=5$

$LCM=120$

So, $xy=120\times 5$

$=600$

Sum of the reciprocal of x and y$=\frac{1}{x}+\frac{1}{y}$

$=\frac{x+y}{xy}$

$=\frac{55}{600}$

$=.091$