SOLUTION: The sum of two consecutive numbers is 182 and their difference is 76. find the numbers

Algebra ->  Equations -> SOLUTION: The sum of two consecutive numbers is 182 and their difference is 76. find the numbers      Log On


   

Question 1062039: The sum of two consecutive numbers is 182 and their difference is 76. find the numbers
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the larger of the two numbers
Let y be the smaller of the two numbers
x+%2B+y+=+182+ (1)
x+-+y++=+76+ (2)
Add (1) to (2) to get the y's to cancel:
++2x+%2B+0y+=+258+
++++x+=+129+ —using (1) —> +129+%2B+y+=+182+ or +y=+182+-+129+=+53+
—
Ans: the numbers are 53 and 129
—
Check: (using (2), we already used (1) to find y):
x-y = 76
129 - 53 = 76 (ok)