Question

The sum of two numbers is 20. if each number is added to its square root, the product of the two sums equals 155.55. we want to determine the two numbers to within 10^-4.how can the two numbers say x and y can be determined ?

Answer 1

Answer: By the below explanation we can determine the two unknown numbers.

Step-by-step explanation:

Here the given numbers are represented by x and y,

Since, The sum of two numbers is 20

⇒ x + y = 20 ⇒ y = 20 - x ----- (1)

And, if each number is added to its square root, the product of the two sums equals 155.55.

⇒( x + √x ) ( y + √y) = 155.55

⇒ xy + x√y + y√x + √x√y = 155.55 -----(2)

Thus, with the help of equation (1) and (2),

We can find the unknown numbers.