Question

The sum of the real numbers x and y is 25. their difference is 13z what is the value of xy

Answer 1

The value of xy is 114 which is a real number.

real numbers are all numbers/points that exist at the variety line.real numbers may be divided into the following divisions:Rational numbers; any range which may be written within the form ofin which p and q are co-prime integer numbers , are called rational numbers. Irrational numbers ; all numbers which cannot be written as a simple fraction is referred to as irrational numbers.

Given two real numbers x and y . Let us consider $x < y$.

According to the question their sum is 25.

$\therefore x+y=25$.............(i)

The difference of the numbers is 13.

$\therefore x-y=13$ ...........(ii)

Now we have to solve the simultaneous equation:

adding equations (i) and (ii) we get:

$x+y=25\\\underline{x-y=13}\\\\2x=38\\or,x=19$

Substituting the value x=19 into equation (i) we get:

$x+y=25\\or,19+y=25\\or,y=25-19\\or,y=6$

Now let us find the product xy

$xy=19\times 6\\or,xy=114$

The product xy is 114 which is also a real number.

To learn more about Real numbers:

brainly.com/question/2515651

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