W=mrs. west's age
A=aunts age
x= the amount of years from 60/40
W=A-14
To find W's age:
W=60-x = If Mrs. West's age in years is as much below 60
A=x+40 = as her aunt's age is over 40
Now, we need to find x: combine equations
(60-x)=(x+40)-14 *remember that W is 14 less than A*
60-x=x+40-14
60-x=x+26
60-60-x=x+26-60
-x=x-34
-x-x=x-34-x
-2x=-34
-2x/-2=-34/-2
x=17
Now plug in x into the age equations
W=60-x
W=60-17
W=43
A=x+40
A=17+40
A=57
conclusion,
Mrs. West is 43 years old while her aunt is 57 years old.