Phil is 23 years older than keith. in two years phil will be twice as old as keith will be. how old is keith in years?

44 years old

Step-by-step explanation:

The deifference between their ages is always the same. So 23x2=46

but that is in 2 years so we -2 from 46 =44

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints