Question 480558: The sum of two numbers is 24 and their difference is 2. What are the numbers? Please show all work.
Answer by Maths68(1474)   (Show Source):
You can put this solution on YOUR website! 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
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