The sum of two numbers is 82. One number is three less than four times the other. Find the two numbers.
\(a+b=82, a=4b-3\rightarrow 4b-3+b=82\rightarrow 5b-3=82\rightarrow 5b=85\rightarrow \boxed{b=17}\rightarrow \boxed{a=4*17-3=65}\)
x + y = 82
x + 4x - 3 = 82
x = 17
y = 4x - 3 = 65