SOLUTION: 28 arithmatic means are inserted between a and b so that two means exactly at the middle are 59 and 63, find a and b.

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Question 1035034: 28 arithmatic means are inserted between a and b so that two means exactly at the middle are 59 and 63, find a and b.
Answer by fractalier(6550) About Me  (Show Source):
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If 28 arithmetic means are between a and b, that means there are 29 intervals. Each interval is 4. There are 14 of them less than 59 and 14 of them greater than 63. Since 14*4 = 56, we subtract 56 from 59 to get
a = 59 - 56 = 3
and add 56 to 63 to get
b = 63 + 56 = 119