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Aptitude Day 53


Problems on numbers

 1. The sum of the 2 numbers is 15 and their product is 26. What will be the sum of their reciprocals?

 Solution:
               Let the 2 numbers be x and y.
               (1/x)+(1/y)= y+x/xy
                                = 15/26.

 2.  If the sum of 2 numbers 35 and the sum of their squares is 625. Find their product.

 Solution:
                Let the numbers be x and y.
                x+y = 35
                x2+y2 = 625
                2xy = x2+y2+2xy-(x2+y2)
                       = (x+y)2- (x2+y2)
                       = 352-625
                       = 1225-625
                2xy = 600
                 xy  = 300.

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