Question 480558
Let numbers are x and y

sum of the numbers = 24
x+y=24 .............(1)
difference of the numbers = 2
x-y=2...............(2)

Add (1) and (2) 
x+y=24
x-y=2
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2x=26 ..........(3)

Divide by 2 both sides of equation (3)
2x/2=26/2
x=13
Put the value of x in equation (1)
13+y=24
subtract 13 from both sides of the above equation
13+y-13=24-13
y=11

so numbers are x,y=13,11

Check the values by putting them in equation (1) and (2)
x+y=24 .............(1)
13+11=24
24=24
x-y=2...............(2)
13-11=2
2=2