Question

The number of home runs by player A and player B for a season are consecutive odd integers whose sum is 88. Determine the number of homers hit by player A and by player B.

Answer 1

The total home runs of player A is 43 and of player B is 45

Explanation:

So, we don't know the number of home runs done by the players but we do know that the sum those home runs are 88.

If we say that player A did "x" home runs and let's assume this one is the player that did less home runs, therefore player B did the same number of home runs plus 2 because they are consecutive odd integers.

Therefore:

Home runs of Player A = x;

Home runs of Player B = x +2;

So we get that our equation is:

Home runs of Player A + Home runs of Player B = 88

x + x + 2 = 88

2x + 2 = 88

2x = 88 - 2

2x = 86

x = 86/2

x = 43

Home runs of Player A = x = 43

Home runs of Player B = x +2 = 43 + 2 = 45

Therefore, the total home runs of player A is 43 and of player B is 45