during his career, hank aaron hit 37 more home runs than babe ruth hit during his career.together they hit 1,501 home runs.how many home runs did babe ruth hit?
Let a = number of home runs Hank Aaron hit
Let r = number of home runs Babe Ruth hit.
From the first sentence we know a = r + 37
From the second sentence we know that a + r = 1501
Since a = r + 37, we then have:
(r + 37) + r = 1501
2r + 37 = 1501
2r + 37 - 37 = 1501 - 37
2r = 1464
2r/2 = 1464/2
r = 732, and
a = r + 37 = 732 + 37 = 769
So the answer to the stated problem is that Babe Ruth hit 732 home runs and Hank Aaron hit 769.
Neither of those numbers is historically correct, however. Babe Ruth hit 714 home runs and Hank Aaron hit 755 home runs in their respective Major League careers.