Let
x----------> first number
y----------< second number
we know that
x+y=16---------> y=16-x-----------> equation 1
x*y=48-----------------> equation 2
substituting 1 in 2
x*(16-x)=48----------> 16x-x²=48---------> x²-16x+48=0
using a graph tool----> to calculate the quadratic equation
see the figure attached
the values of x are
x1=4
x2=12
for x=4
y=16-x-----> 16-4--------> y=12
and for x=12
y=16-x------> 16-12------> y=4
the answer is
the two integers are 4 and 12
