SOLUTION: Please help me solve this problem: Two presidential candidates havde a total of 1882 votes. The loser got 970 fewer votes than the winner. How many votes did the winner get?

Question 170388: Please help me solve this problem: Two presidential candidates havde a total of 1882 votes. The loser got 970 fewer votes than the winner. How many votes did the winner get?
I think I would take 1882-970= 912votes? that makes no sense though. Is there an easy way to figure this out?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X+Y=1882
X=Y-970 X BEING THE LOSER.
(Y-970)+Y=1882
2Y=1882+970
2Y=2852
Y=2852/2
Y=1,426 WAS THE NUMBER OF VOTE FOR THE WINNER.
PROOF:
1882-1426=456 FOR THE LOSER.
1426-456=970 IS THE DIFFERENCE.

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