He sum of two numbers is 46 and the difference is 2. What are the numbers?

large number is

the small number is

Let us condense your question in the form of system of equations,

x + y = 46

x - y = 2

Now, x = 46 - y

Thus,

46-y - y = 2

46 - 2y = 2

-2y = - 44

Thus, y = 22.

x + y = 46

x + 22 = 46

Thus, x = 24.

Thus, the greater number is 24 and smaller number is 22.

A + b = 46

a-b = 2

solve one of the equations for a ...

a + b = 46

a = b + 2

solve for "b" using substitution ...

(b + 2) + b = 46

2b + 2 = 46

2b = 44

b = 22

solve for "a" with substitution ...

a + (22) = 46

a = 24

Smaller Number: 22

Bigger Number: 24