Answers

2015-04-21T06:22:27+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Call the numbers x, y and suppose x>y
Their difference is 16 :x-y=16\implies\,y=x-16

Their sum is x+y and product is xy
Adding sum and product gives x+y+xy

Substitute the y value and get a quadratic in xx+y+xy=x+x-16+x(x-16)\\=x^2-14x-16
Minimum value occurs at vertex and the x coordinate of vertex is x=-\frac{b}{2a}=-\frac{-14}{2}=7

Plugging x in earlier equation gives y=7-16=-9
Therefore the required numbers are 7 and -9
1 5 1