Question

Two numbers total 61 and have a difference of 33. Find the two numbers

Answer 1

$x,\ y-the\ numbers\\\\\underline{+\left\{\begin{array}{ccc}x+y=61\\x-y=33\end{array}\right}\qquad\text{add both sides of equations}\\\\.\qquad2x=94\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=47}\\\\\text{Put the value of x to the first equation}\\\\47+y=61\qquad\text{subtract 47 from both sides}\\\\\boxed{y=14}\\\\Answer:\ \boxed{\boxed{47\ and\ 14}}$