Question

The sum of two numbers is 20. if each number is added to its square root, the product of the two sums is 155.55. determine the two numbers to within 10−4.

Answer 1

;Let the number be x and y
x+y=20
hence:
y=20-x
(x+x^1/2)*(20-x+(20-x)^1/2)=155.55
solving the above we get:
x=6.51285 or x=13.4872
therefore one of the numbers is:
x=6.51285
or
y=13.4872