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 [tex]x < y[/tex].
According to the question their sum is 25.
[tex]\therefore x+y=25[/tex].............(i)
The difference of the numbers is 13.
[tex]\therefore x-y=13[/tex] ...........(ii)
Now we have to solve the simultaneous equation:
adding equations (i) and (ii) we get:
[tex]x+y=25\\\underline{x-y=13}\\\\2x=38\\or,x=19[/tex]
Substituting the value x=19 into equation (i) we get:
[tex]x+y=25\\or,19+y=25\\or,y=25-19\\or,y=6[/tex]
Now let us find the product xy
[tex]xy=19\times 6\\or,xy=114[/tex]
The product xy is 114 which is also a real number.
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