The sum of two numbers is 47 and the difference is 9 what are the numbers?

The numbers are 19 and 28.

28 and 19

Step-by-step explanation:

let the 2 numbers be x and y, x > y, then

x + y = 47 → (1) ← sum of numbers

x - y = 9 → (2) ← difference of numbers

Adding the 2 equations to eliminate y

2x = 56 (divide both sides by 2)

x = 28

substitute x = 28 into (1) and solve for y

28 + y = 47 (subtract 28 from both sides)

y = 47 - 28 = 19

The 2 numbers are 28 and 19