SOLUTION: There are 3 consecutive numbers. When the product of these is divided by each of them in turn, the sum of quotients will be 74. What are the numbers?
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Question 761344: There are 3 consecutive numbers. When the product of these is divided by each of them in turn, the sum of quotients will be 74. What are the numbers? Answer by pbdesai(4) (Show Source):
You can put this solution on YOUR website! Answer is number-4,5 and 6.
Solution-abc/a + abc/b + abc/c = 74
bc+ac+ab= 74
b(b+1) + (b-1)(b+1) + (b-1)b= 74
bb +bb+ bb -1= 74
3bb= 75
bb = 25
b= 5.