SOLUTION: The sum of two numbers is six. if one number is subtracted from the other the result is two. find the numbers.

Question 964672: The sum of two numbers is six. if one number is subtracted from the other the result is two. find the numbers.
Found 2 solutions by addingup, macston:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
a+b= 6, a= 6-b
a-b=2 Substitute for a:
6-b-b= 2
-2b= 2-6
-2b= -4 Divide both sides by -2
b= 2 Now we know number b is 2 Let's find a:
a+2= 6
a= 6-2
a= 4
proof:
4+2= 6
4-2= 2

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
x and y are two numbers.
x-y=2
x=y+2 Use this to substitute for x.
x+y=6 Substitute for x from above.
(y+2)+y=6 Subtract 2 from each side.
2y=4
y=2 ANSWER 1: One of the numbers is 2.
x=y+2=2+2=4 ANSWER 2: The other number is 4.
CHECK:
x-y=2
4-2=2
2=2
x+y=6
4+2=6
6=6
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