the sum of two numbers is 47 and the difference is 19. what are the two numbers

Answer 1

Let x = the first number

Let y = second number

x + y = 47 (Given)

x-y = 19 (Given)

Solving the simultaneous equations by addition gives

2x = 66 or x = 33

Substituting 33 for x in the first equation gives

33 + y = 47 of y = 14

Checks:

33 +14 = 47

33-14 = 19

Answer 2

As the problem states if x & y are the two unknowns:

x + y = 47

x - y = 19 then adding the equations, we get 2x = 66 or x = 33

Solving for y from either equation gives y = 14