SOLUTION: hi, i have got to find two numbers whose sum is 108 and whose difference is 54 thanks

Question 263062: hi, i have got to find two numbers whose sum is 108 and whose difference is 54 thanks
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
find two numbers whose sum is 108 and whose difference is 54
.
Let x = one number
and y = second number
.
x+y = 108 (equation 1)
x-y = 54 (equation 2)
.
Using the "elimination method" we add the two equations together:
x+y = 108
x-y = 54
-----------
2x = 162
x = 81
.
To find y, we can plug the above into equation 1 and solve for y:
x+y = 108
81+y = 108
y = 108-81
y = 27
.
The two numbers are 27 and 81

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