Problems based on Numbers Test 4

Question : 9 of 40

Marks: +1, -0

The product of two natural numbers is 17. Then find the sum of the reciprocals of their squares.

Solution:

Let the two numbers are x and y;
then xy = 17 then only possible value of x and y are 17 and 1.
Then,

1/x^2+1/y^2=1/289+1=290/289

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