SOLUTION: Find three consecutive numbers whose sum is 126? Could you show the steps for me.

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: Find three consecutive numbers whose sum is 126? Could you show the steps for me.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 62129: Find three consecutive numbers whose sum is 126? Could you show the steps for me.
Found 2 solutions by joyofmath, stanbon:
Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
Find three consecutive numbers whose sum is 126
Let x be the first number. Then the second number is x+1 and the third is x+2 since they're all consecutive.
So, x%2B%28x%2B1%29%2B%28x%2B2%29+=+126.
Or, 3x%2B3+=+126.
Or, 3x=123.
Or, x=41.
So, the numbers are 41,42, and 43.
Verify:
41+42+43=126.

Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
x+(x+1)+(x+2)=126
3x+3=126
3x=123
x=41
x+1=42
x+2=43
Cheers,
Stan H.