The sum of reciprocal of two numbers is 0.45 and the sum of reciprocal of their squares is 0.1025,

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17 Feb 2010 Reciprocal numbers

The sum of reciprocal of two numbers is 0.45 and the sum of reciprocal of their squares is 0.1025,
then value of the numbers are

OPtion

(1) 3,5
(2) 4,5
(3) 4,6
(4) 2,6
(5) 3,4
(6) 2,3
(7) 4,9
(8) 1,5
(9) 2,5
(10) 3,6

Solution

Let the numbers are x and y
According to the given conditions
(1/x) + (1/y) = 0.45
And (1/x2) + (1/y2) = 0.1025
On solving these two equations , we get the two values 4 and 5

Correct Option: 2 Best Solution (7)