SOLUTION: Roger maris and babe ruth are amopng the ten baseball players with the most home runs in a major league baseball season. The number of homeruns by these players for the season are

Question 230389: Roger maris and babe ruth are amopng the ten baseball players with the most home runs in a major league baseball season. The number of homeruns by these players for the season are consecutive odd integers who sum is 120. determine the number of homers hit by ruth and by maris.
Found 2 solutions by stanbon, texttutoring:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Roger maris and babe ruth are amopng the ten baseball players with the most home runs in a major league baseball season. The number of homeruns by these players for the season are consecutive odd integers who sum is 120. determine the number of homers hit by ruth and by maris.
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1st: 2x-1
2nd: 2x
3rd: 2x+1
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Equation:
2x-1 + 2x + 2x+1 = 6x
6x = 120
x = 20
---
1st: = 2x-1 = 40-1 =39
2nd: = 40
3rd: = 41
==================
Cheers,
Stan H.
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
We need 2 Equations with 2 Variables.
Eqn 1: x+y=120
Eqn 2: x-y=2
Note on Eqn 2: Consecutive odd numbers have a difference of 2. For example, 7-5=2, 9-7=2, 11-9=2 and so on.
Eqn 2: x=2+y
Substitute this into Eqn 1:
2+y+y=120
2y=118
y=59
From Eqn 2:
x-y=2
x-59=2
x=61
The two numbers are 59 and 61.
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